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964321056 = 253217196961
BaseRepresentation
bin111001011110100…
…101111100100000
32111012112120210200
4321132211330200
53433331233211
6235404425200
732616410436
oct7136457440
92435476720
10964321056
11455374756
1222ab48200
13124a2739a
1492100d56
15599d4b56
hex397a5f20

964321056 has 72 divisors (see below), whose sum is σ = 2903613804. Its totient is φ = 302530560.

The previous prime is 964321051. The next prime is 964321063. The reversal of 964321056 is 650123469.

It is a happy number.

964321056 is a `hidden beast` number, since 9 + 643 + 2 + 1 + 0 + 5 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 954810000 + 9511056 = 30900^2 + 3084^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 964321056.

It is not an unprimeable number, because it can be changed into a prime (964321051) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 93585 + ... + 103376.

Almost surely, 2964321056 is an apocalyptic number.

964321056 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

964321056 is an abundant number, since it is smaller than the sum of its proper divisors (1939292748).

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

964321056 is a wasteful number, since it uses less digits than its factorization.

964321056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196994 (or 196983 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 964321056 is about 31053.5192208548. The cubic root of 964321056 is about 987.9627035482.

The spelling of 964321056 in words is "nine hundred sixty-four million, three hundred twenty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4896 196961 393922 590883 787844 1181766 1575688 1772649 2363532 3151376 3348337 3545298 4727064 6302752 6696674 7090596 9454128 10045011 13393348 14181192 18908256 20090022 26786696 28362384 30135033 40180044 53573392 56724768 60270066 80360088 107146784 120540132 160720176 241080264 321440352 482160528 964321056