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930874944 = 26329315393
BaseRepresentation
bin110111011111000…
…000011001000000
32101212121100100210
4313133000121000
53401300444234
6232211514120
732032210056
oct6737003100
92355540323
10930874944
1143850013a
1221b8b8940
1311ab1699c
148b8b61d6
1556ac9be9
hex377c0640

930874944 has 112 divisors (see below), whose sum is σ = 2630545920. Its totient is φ = 289873920.

The previous prime is 930874939. The next prime is 930874949. The reversal of 930874944 is 449478039.

It is an interprime number because it is at equal distance from previous prime (930874939) and next prime (930874949).

It is a super-2 number, since 2×9308749442 = 1733056322734006272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 930874893 and 930874902.

It is not an unprimeable number, because it can be changed into a prime (930874949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169912 + ... + 175304.

Almost surely, 2930874944 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 930874944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1315272960).

930874944 is an abundant number, since it is smaller than the sum of its proper divisors (1699670976).

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

930874944 is a wasteful number, since it uses less digits than its factorization.

930874944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5468 (or 5458 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The square root of 930874944 is about 30510.2432635336. The cubic root of 930874944 is about 976.4060166865.

The spelling of 930874944 in words is "nine hundred thirty million, eight hundred seventy-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 31 32 48 58 62 64 87 93 96 116 124 174 186 192 232 248 348 372 464 496 696 744 899 928 992 1392 1488 1798 1856 1984 2697 2784 2976 3596 5393 5394 5568 5952 7192 10786 10788 14384 16179 21572 21576 28768 32358 43144 43152 57536 64716 86288 86304 129432 156397 167183 172576 172608 258864 312794 334366 345152 469191 501549 517728 625588 668732 938382 1003098 1035456 1251176 1337464 1876764 2006196 2502352 2674928 3753528 4012392 4848307 5004704 5349856 7507056 8024784 9696614 10009408 10699712 14544921 15014112 16049568 19393228 29089842 30028224 32099136 38786456 58179684 77572912 116359368 155145824 232718736 310291648 465437472 930874944