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268934652 = 223277115031
BaseRepresentation
bin10000000001111…
…001110111111100
3200202001021222200
4100001321313330
51022321402102
642404111500
76443623020
oct2001716774
9622037880
10268934652
11128896648
1276095590
1343941c3c
1427a08380
151892451c
hex10079dfc

268934652 has 72 divisors (see below), whose sum is σ = 787917312. Its totient is φ = 75751200.

The previous prime is 268934651. The next prime is 268934657. The reversal of 268934652 is 256439862.

It is a super-2 number, since 2×2689346522 = 144651694092722208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 268934598 and 268934607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268934651) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10377 + ... + 25407.

It is an arithmetic number, because the mean of its divisors is an integer number (10943296).

Almost surely, 2268934652 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268934652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393958656).

268934652 is an abundant number, since it is smaller than the sum of its proper divisors (518982660).

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

268934652 is a wasteful number, since it uses less digits than its factorization.

268934652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15119 (or 15114 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 268934652 is about 16399.2271769129. The cubic root of 268934652 is about 645.4792040089.

The spelling of 268934652 in words is "two hundred sixty-eight million, nine hundred thirty-four thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 71 84 126 142 213 252 284 426 497 639 852 994 1278 1491 1988 2556 2982 4473 5964 8946 15031 17892 30062 45093 60124 90186 105217 135279 180372 210434 270558 315651 420868 541116 631302 946953 1067201 1262604 1893906 2134402 3201603 3787812 4268804 6403206 7470407 9604809 12806412 14940814 19209618 22411221 29881628 38419236 44822442 67233663 89644884 134467326 268934652