Numbers 4300-4399

A page of the Numeropedia - the Special Encyclopedia of Numbers

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4,300

[EECS]  4.3K(W) is one of standard numerical values for resistors (of tolerance class 5%).

4,312 & 4,321

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

4,320

[Math.]  Sum (in degrees) of all internal angles of a 26-side polygon.

[Math.]  4320 = (6+4)×(6+3)×(6+2)×(6+0).

4,324

[Math.]  A pyramidal number (sum of all squares of integers from 1 to 23): 4324 = 12+22+…+222+232.

4,330

[Math.]  4330 = 21+42+63+84.

4,332

[Math.]  4332 = 444+3333+333+222.

4,335

[Math.]  4335 = 444+3333+3+555.

4,336

[Math.]  4336 = 4+3333+333+666.

4,339

[Math.]  4339 = 4+3333+3+999.

4,342

[Math.]  43424 = 355,434,251,585,296.

4,347

[Math.]  Two multiples of number 4347, 4347×2 = 8694 and 4347×5 = 21,735, use each of 9 digits 1-9 once.

4,356

[Math.]

(*)   8712 = 2178×4 & 8712×2178 = 18,974,736 = 43562 (= 664).

87128712 = 21782178×4 & 87128712×21782178 = 435643562

(**)   87912 = 21978×4 & 21978×87912 = 1,932,129,936  = 439562

8791287912 = 21978…21978×4 & 21978…21978×87912…87912 = 43956…43956

(***)   879912 = 219978×4 & 219978×879912 = 193,561,281,936 = 4399562

879912879912 = 219978219978×4 &

219978219978×879912879912 = 4399564399562

(****)   879…912 = 219…978×4 & 219…978×879…912 = 439…9562

879…912…879…912 = 219…978…219…978×4 &

219...978...219...978×879...912...879...912 = 439...956...439...9562.

...

[Math.]  Sum of the first 11 cube numbers:

13+23+33+…+93+103+113 = 4356 = (1+2+3+…+9+10+11)2 = 662.

[Math.]  4356 = (1.5)×6534.

4,357

[Math.]  43572 = 1898,3449 and 1898+3449 = 5347.

4,365

[Math.]  Two multiples of number 4365, 4365×4 = 17,460 and 4365×9 = 39,285, use each of 10 digits 0-9 once.

4,369

[Math.]  A regular polygon with this odd number (product of Fermat prime numbers) of sides is constructible by using only straightedge and compass. 4369 = 17´257.

4,371

[Math.]  A triangular number (sum of all integers from 1 to 93): 4371 = 1+2+…+92+93.

4,375

[Math.]  Its odd powers end with 4375. Its even powers end with 0625.

4,376

[Math.]  All of its powers end with 9,376.

4,391

[Literature]  A famously long sentence in English literature is of 4391-word, in James Joyce’s Ullyses.

4,392

[Math.]  Each ratio 15768/3942 = 17568/4392 = 23184/5796 = 31824/7956 = 4, using each of 9 digits 1-9 once, shows how to arrange a 9-book set on 2 shelves to mark the book #4.

4,396

[Math.]  4,396 = 28×157, using each of 9 digits 1-9 once.