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268796934 = 23373719219
BaseRepresentation
bin10000000001011…
…000010000000110
3200201210022002000
4100001120100012
51022303000214
642401130130
76442510350
oct2001302006
9621708060
10268796934
1112880212a
1276029946
13438c4353
14279b00d0
15188e8809
hex10058406

268796934 has 64 divisors (see below), whose sum is σ = 701145600. Its totient is φ = 74719584.

The previous prime is 268796921. The next prime is 268796951. The reversal of 268796934 is 439697862.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 4377 + ... + 23595.

It is an arithmetic number, because the mean of its divisors is an integer number (10955400).

Almost surely, 2268796934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268796934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350572800).

268796934 is an abundant number, since it is smaller than the sum of its proper divisors (432348666).

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

268796934 is a wasteful number, since it uses less digits than its factorization.

268796934 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19274 (or 19268 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The square root of 268796934 is about 16395.0277218430. The cubic root of 268796934 is about 645.3690046444.

The spelling of 268796934 in words is "two hundred sixty-eight million, seven hundred ninety-six thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 37 42 54 63 74 111 126 189 222 259 333 378 518 666 777 999 1554 1998 2331 4662 6993 13986 19219 38438 57657 115314 134533 172971 269066 345942 403599 518913 711103 807198 1037826 1210797 1422206 2133309 2421594 3632391 4266618 4977721 6399927 7264782 9955442 12799854 14933163 19199781 29866326 38399562 44799489 89598978 134398467 268796934