Numbers 360-369

A page of the Numeropedia - the Special Encyclopedia of Numbers

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360

[EECS]  360(W, KW or MW) is one of standard numerical values for resistors (of tolerance class 5%).  360pF (picofarads) is one of standard numerical values for capacitors.

[Math.]  A revolution, a full angle (or a full circle) is 360o = 2p radians = 400 grads (grades). (Units for angle measures).

[Math.]  The 360o angle (or angles of integral multiples of 360o) is identical with the 0o angle: cos (a) = cos (360oa).

[Math.]  A reflex angle is greater than 180o but less than 360o.

[Math.]  Sum (in degrees) of all internal angles of a 4-side polygon (quadrilateral).

[Measure] The number of drops in fluid ounce.

U.S. customary units for kitchen measurements: ½ pints = 1 cup = 8 fluid ounces = 16 tablespoons = 48 teaspoons = 2880 drops = 236.588 ml.

Commercially: 1 fluid ounce = 576 drops, 1 drop = 0.051 ml and a pharmacist’s drop is rounded to exactly 0.05 ml. Then 1 fluid ounce = 591.5 pharmacist’s drops.

[Measure]  In old-time Chinese, a mile is equal to 360 steps.

[Movie] CNN news: “Anderson Cooper 360o”.

[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])

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

[Tech.]  Volvo’s numbered series: 140 (142, 144, 145), 164, 240 (242, 244, 245), 260 (262, 264, 265), 340 (343, 345), 360, 440, 460, 480, 740, 760, 780, 850, 940 and 960. Digit 0 is replaced by the number of doors.

361

[Game]  The number of pieces in the game "Go" : 180 white and 181 black.

Go is called Weichi in China and Baduk in Korea.

[Math.]  A square number: 361 = 192.

[Math.]  The sum s(n) = 2^(2n)+3^(2n)+5^(2n) is always divisible by 19 and the sum t(n) = 2^(4n)+3^(4n)+5^(4n) is always divisible by 192 (= 361) for any integer n³ 1.

[Sport]  One of soccer’s possible lineup tactics formations: 3-6-1 (3 defenders, 6 midfielders and 1 forward).

362

363

[Math.]  6304 = 173,630,693,610,000 and 3634 = 17,363,069,361.

[Math.]  Both numbers 363 and the 363rd triangular number (66,066) are palindromic.

364

[Math.]  3642 = 132,496 = (–132+496)2

3643 = 48,228,544 = (048–228+544)3

3644 = 17,555,190,016 = (–017+555–190+016)4

3645 = 6,390,089,165,824 = (006–390+089–165+824)5

3646 = 2,325,992,456,359,936 = (–002+325–992+456–359+936)6

3647 = 846,661,254,115,016,704 = (–846+661–254+115–016+704)7.

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

365

[Calendar]  The number of full days in a non-leap (calendar) year, after the year 46 B.C.

[Calendar]  In the solar Aztec calendar, a year has 365 days, while in the ritual Aztec calendar, it has only 260 days.

[Math.]  The smallest number that is equal to two consecutive sums of consecutive square numbers: 102+112+122 = 365 = 132+142.

365.24

[Calendar]  The average number of days in a tropical year: 365.242374 days.

365.2425

[Calendar]  The average number of days in a currently-used Gregorian year is 365.2425, after the adoption of the Gregorian calendar, created by Pope Gregory XIII in 1582 to reform the old Julian calendar.

365.25

[Calendar]  The average number of days in a year by the Julian calendar is 365.25.

366

[Calendar]  The number of full days in a leap year, after the year 46 B.C.

367

[Math.]  A prime number whose digits are distinct and in the English alphabetical backward consecutive order.

368

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

369

[Math.]   3692 = 136,161 = (1+361+6+1)2

3694 = 18,539,817,921 = (18+53+98+179+21)4

3695 = 6,841,192,812,849 = (6+8+4+1+1+9+281+2+8+49)5.

[Math.]

692 = 136,161

36992 = 13682601

369992 = 1368926001

3699992 = 136899260001

36999992 = 13689992600001

3366992 = 113366,216601

336699992 = 11336688,32660001

33669999992 = 1133668899,3266000001

3366999999992 = 113366889999,326600000001

333,666,9992 = 111,333,666,221,666,001

333,666,999,9992 = 111,333,666,888,332,666,000,001

333,666,999,999,9992 = 111,333,666,888,999,332,666,000,000,001

3333,6666,99992 = 1111,3333,6666,2221,6666,0001

3333,6666,9999,99992 = 1111,3333,6666,8888,3332,6666,0000,0001.

...

360-369

[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 360-369 are for books in Social Problems and Services.

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