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934113920 = 2756132381
BaseRepresentation
bin110111101011010…
…111001010000000
32102002200220101212
4313223113022000
53403113121140
6232405145252
732101560125
oct6753271200
92362626355
10934113920
1143a312683
122209bb228
1311b6ac03c
148c0ba74c
1557019765
hex37ad7280

934113920 has 64 divisors (see below), whose sum is σ = 2237698440. Its totient is φ = 372879360.

The previous prime is 934113911. The next prime is 934114001. The reversal of 934113920 is 29311439.

934113920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 118897216 + 815216704 = 10904^2 + 28552^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 391130 + ... + 393510.

Almost surely, 2934113920 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 934113920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1118849220).

934113920 is an abundant number, since it is smaller than the sum of its proper divisors (1303584520).

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

934113920 is a wasteful number, since it uses less digits than its factorization.

934113920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3013 (or 3001 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 32.

The square root of 934113920 is about 30563.2773111785. The cubic root of 934113920 is about 977.5371728156.

The spelling of 934113920 in words is "nine hundred thirty-four million, one hundred thirteen thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 613 640 1226 2381 2452 3065 4762 4904 6130 9524 9808 11905 12260 19048 19616 23810 24520 38096 39232 47620 49040 76192 78464 95240 98080 152384 190480 196160 304768 380960 392320 761920 1459553 1523840 2919106 5838212 7297765 11676424 14595530 23352848 29191060 46705696 58382120 93411392 116764240 186822784 233528480 467056960 934113920