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336135240 = 233257133387
BaseRepresentation
bin10100000010010…
…000010001001000
3212102111102212100
4110002100101020
51142022311430
653204313400
711221050060
oct2402202110
9772442770
10336135240
11162815421
12946a2860
13548404bc
14328dc3a0
151e79a960
hex14090448

336135240 has 96 divisors (see below), whose sum is σ = 1248511680. Its totient is φ = 76830336.

The previous prime is 336135227. The next prime is 336135253. The reversal of 336135240 is 42531633.

It is a happy number.

336135240 is a `hidden beast` number, since 3 + 3 + 613 + 5 + 2 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (336135227) and next prime (336135253).

It is a super-2 number, since 2×3361352402 = 225973799139715200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64174 + ... + 69213.

It is an arithmetic number, because the mean of its divisors is an integer number (13005330).

Almost surely, 2336135240 is an apocalyptic number.

336135240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

336135240 is an abundant number, since it is smaller than the sum of its proper divisors (912376440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

336135240 is a wasteful number, since it uses less digits than its factorization.

336135240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133411 (or 133404 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 336135240 is about 18333.9913821295. The cubic root of 336135240 is about 695.2985898475.

Adding to 336135240 its reverse (42531633), we get a palindrome (378666873).

The spelling of 336135240 in words is "three hundred thirty-six million, one hundred thirty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 133387 266774 400161 533548 666935 800322 933709 1067096 1200483 1333870 1600644 1867418 2000805 2400966 2667740 2801127 3201288 3734836 4001610 4668545 4801932 5335480 5602254 6002415 7469672 8003220 8403381 9337090 9603864 11204508 12004830 14005635 16006440 16806762 18674180 22409016 24009660 28011270 33613524 37348360 42016905 48019320 56022540 67227048 84033810 112045080 168067620 336135240