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268900944 = 243133113901
BaseRepresentation
bin10000000001110…
…001101001010000
3200201222120202020
4100001301221100
51022314312234
642403251440
76443422524
oct2001615120
9621876666
10268900944
11128873294
1276079b80
134392c7b0
14279d9d84
1518919549
hex10071a50

268900944 has 80 divisors (see below), whose sum is σ = 772283904. Its totient is φ = 80064000.

The previous prime is 268900909. The next prime is 268900979. The reversal of 268900944 is 449009862.

It is an interprime number because it is at equal distance from previous prime (268900909) and next prime (268900979).

It is a super-2 number, since 2×2689009442 = 144615435368182272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 268900896 and 268900905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12394 + ... + 26294.

Almost surely, 2268900944 is an apocalyptic number.

268900944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268900944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386141952).

268900944 is an abundant number, since it is smaller than the sum of its proper divisors (503382960).

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

268900944 is a wasteful number, since it uses less digits than its factorization.

268900944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13956 (or 13950 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 268900944 is about 16398.1994133502. The cubic root of 268900944 is about 645.4522349764.

The spelling of 268900944 in words is "two hundred sixty-eight million, nine hundred thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 39 48 52 62 78 93 104 124 156 186 208 248 312 372 403 496 624 744 806 1209 1488 1612 2418 3224 4836 6448 9672 13901 19344 27802 41703 55604 83406 111208 166812 180713 222416 333624 361426 430931 542139 667248 722852 861862 1084278 1292793 1445704 1723724 2168556 2585586 2891408 3447448 4337112 5171172 5602103 6894896 8674224 10342344 11204206 16806309 20684688 22408412 33612618 44816824 67225236 89633648 134450472 268900944