Numbers 330-339

A page of the Numeropedia - the Special Encyclopedia of Numbers

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330

[EECS]  330(W, KW or MW) is one of standard numerical values for resistors (of tolerance class 5%).  330pF (picofarads) and 330mF (microfarads) are two of standard numerical values for capacitors.

[Math.]  The denominator of the 20th Bernoulli number: B20 = 174611/330.

[Math.]

sin(210o) = sin(330o) = cos(120o) = cos(240o) = –0.5

sin(60o) = sin(120o) = cos(30o) = cos(330o) = (31/2)/2.

[Tech.]  A family of passenger airplane/jetliner Airbus: A-300 (and shorter variant A-310), A-320, (shorter variants A-318, A-319 and stretched variant A-321), A-330, A-340, A-350 and A-380 (as of 2006).

[Tech.]  BMW (Bayerische Motoren Werke) cars’ numbered models currently: 325 (328, 323), 330, 525, 530, 650, 750 and 760.

331

[Math.]  A prime number.

[Math.]  3313 = 36,264,691 = (–362+6–4+691)3.

[Tech.]  The speed of sound or Mach 1.0, is 331.6  m/s, meters/second or 1,088 ft/s (feet/second), at 0 oC and 1 atm (atmosphere). This speed is not a constant, depending on the density, temperature and pressure of the environment it is traveling by.

332 & 336

[Sport]  The number of dimples on a golf ball usually are: 252, 286, 332, 336, 360, 384, 392, 410, 416, 420, 422, 432, 440, 480, 492 or 500. (References [6])

332

[Math.]  Square of numbers of similar pattern xxy, where y = x–1.

* 1102 = 012,100 & 012+100 = 112 = 110+2.

* 3322 = 110,224 & 110+224 = 334 = 332+2.

Similarly, 3…322 = 1…102…24 & 1…10+2…24 = 3…34 = 3…32+2.

* 4432 = 196,249 & 196+249 = 445 = 443+2

* 6652 = 442,225 & 442+225 = 667 = 665+2.

Similarly, 6…652 = 4…422…25 & 4…42+2…25 = 6…67 = 6…65+2.

* 7762 = 602,176 & 602+176 = 778 = 776+2.

[World]  The ISO country code for Haiti. (ISO-3166)

333

[Math.]  (Generalizable)

166,500,333 = 1663+5003+3333.

333,667,000 = 3333+6673+0003.

333,667,001 = 3333+6673+0013.

333, 334, 335, 336 & 337

[Math.]

 33×34 = 1122 33×35 = 1155 33×36 = 1188 33×37 = 1221 33×47 = 1551 33×57 = 1881

 333×334 = 111,222 333×335 = 111,555 333×336 = 111,888 333×337 = 112,221 333×347 = 115,551 333×357 = 118,881

… (generalizable pattern) …

333

[Math.]

3×37 = 111

33×3367 = 111,111

333×333667 = 111,111,111

3333×33336667 = 111,111,111,111

33333×3333366667 = 111,111,111,111,111

[Math.]

121 = 112

121×(1+2+1) = 484 = 222

12,321×(1+2+3+2+1) = 110,889 = 3332

1,234,321×(1+2+3+4+3+2+1) = 19,749,136 = 4,4442

123,454,321×(1+2+3+4+5+4+3+2+1) = 3,086,358,025 = 55,5552

12,345,654,321×(1+2+3+4+5+6+5+4+3+2+1) 444,443,555,556 = 666,6662

1,234,567,654,321×(1+2+3+4+5+6+7+6+5+4+3+2+1) =

= 60,493,815,061,729 = 7,777,7772

123,456,787,654,321×(1+2+3+4+5+6+7+8+7+6+5+4+3+2+1) =

= 7,901,234,409,876,544 = 88,888,8882

12,345,678,987,654,321×(1+2+3+4+5+6+7+8+9 +8+7+6+5+4+3+2+1)

999,999,998,000,000,001 = 999,999,9992.

[Phone]  The number to key in text messaging on telephone keypad for letter F.

334

[Math.]  334,668 = 6682–3342 = (334+668)×334, where 668 = 334×2.

[Math.]  334,000,667 = 3343+0003+6673.

[Math.]  Repeatedly inserting numbers 15 in the middle of the square number 16 yields other squares 1156 = 342, 111556 = 3342, 11115556 = 33342

[Math.]  Numbers of the same pattern, xxy, where y = x +1: 1122 = 012,544 & 012+544 = 556 & 5562 = 309,136 & 309+136 = 445 & 4452 = 198,025 & 198+025 = 223 & 2232 = 049,729 & 049+729 = 778 & 7782 = 605,284 & 605+284 = 889 & 8892 = 790,321 & 790+321 = 1111. Also: 3342 = 111556 & 111+556 = 667.

[Sport]  One of soccer’s possible lineup tactics formations: 3-3-4 (3 defenders, 3 midfielders and 4 forwards). A slightly modified forwards line makes: 3-3-3-1 (1 striker) or 3-3-2-2 (2 strikers).

[World]  The ISO country code for Heard and McDonald Islands. (ISO-3166)

335

[Math.]  Repeatedly inserting numbers 12 between the digits 1 and 2 in the square number 1225 = 352 yields other squares 112225 = 3352, 11122225 = 33352, 1111222225 = 333352

336

[Math.]  336 = (31+31+61)+(32+32+62)+(33+33+63). (Ref.11)

[World]  The ISO country code for Holy See (Vatican City). (ISO-3166)

337

[Math.]  An absolute prime number (or permutable, circular prime number): all 3 numbers 337, 373 and 733 are prime or in fact, absolute prime.

338

[Math.]  3383 = 38,614,472 = (386+1447+2)3.

339

[Math.]  3393 = 38,958,219 = (389582+1+9)3.

330-339

[Library]  Numbers 300-399 are the first 3 digits in Dewey Decimal Classification System call numbers for library books in Social Sciences (Economics, Government and Education…). Numbers 330-339 are for books in Economics.

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References [6]: Scientific American, I. Stewart, Mathematical Recreations, February 1997.