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664570368 = 29327111873
BaseRepresentation
bin100111100111001…
…000101000000000
31201022111200011100
4213213020220000
52330112222433
6145540014400
722316516640
oct4747105000
91638450140
10664570368
11311150610
12166691400
13a78b5c07
1464394520
153d524b13
hex279c8a00

664570368 has 240 divisors, whose sum is σ = 2392543296. Its totient is φ = 172523520.

The previous prime is 664570363. The next prime is 664570411. The reversal of 664570368 is 863075466.

It is a super-3 number, since 3×6645703683 (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (664570363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 353880 + ... + 355752.

Almost surely, 2664570368 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 664570368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1196271648).

664570368 is an abundant number, since it is smaller than the sum of its proper divisors (1727972928).

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

664570368 is a wasteful number, since it uses less digits than its factorization.

664570368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1915 (or 1896 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 664570368 is about 25779.2623633804. The cubic root of 664570368 is about 872.6638605441.

The spelling of 664570368 in words is "six hundred sixty-four million, five hundred seventy thousand, three hundred sixty-eight".