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664331076 = 223218899769
BaseRepresentation
bin100111100110001…
…110001101000100
31201022001111220200
4213212032031010
52330032043301
6145530530500
722314502203
oct4746161504
91638044820
10664331076
11310aa7852
12166596a30
13a7831016
146433123a
153d4c8c86
hex2798e344

664331076 has 36 divisors (see below), whose sum is σ = 1680342300. Its totient is φ = 221303808.

The previous prime is 664331071. The next prime is 664331111. The reversal of 664331076 is 670133466.

It is a happy number.

664331076 is a `hidden beast` number, since 6 + 643 + 3 + 1 + 0 + 7 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 273240900 + 391090176 = 16530^2 + 19776^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 664331076.

It is not an unprimeable number, because it can be changed into a prime (664331071) 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, 63120 + ... + 72888.

It is an arithmetic number, because the mean of its divisors is an integer number (46676175).

Almost surely, 2664331076 is an apocalyptic number.

It is an amenable number.

664331076 is an abundant number, since it is smaller than the sum of its proper divisors (1016011224).

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

664331076 is a wasteful number, since it uses less digits than its factorization.

664331076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11668 (or 11663 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 664331076 is about 25774.6207731559. The cubic root of 664331076 is about 872.5591078803.

The spelling of 664331076 in words is "six hundred sixty-four million, three hundred thirty-one thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 1889 3778 5667 7556 9769 11334 17001 19538 22668 29307 34002 39076 58614 68004 87921 117228 175842 351684 18453641 36907282 55360923 73814564 110721846 166082769 221443692 332165538 664331076