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327899664 = 24345032
BaseRepresentation
bin10011100010110…
…101101000010000
3211212000000210000
4103202311220100
51132420242124
652312010000
711061046461
oct2342655020
9755000700
10327899664
111590aa964
1291990900
1352c18a91
1431796d68
151dbc06c9
hex138b5a10

327899664 has 75 divisors (see below), whose sum is σ = 950927263. Its totient is φ = 109082592.

The previous prime is 327899659. The next prime is 327899669. The reversal of 327899664 is 466998723.

It is a happy number.

The square root of 327899664 is 18108.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (327899659) and next prime (327899669).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 327899664.

It is not an unprimeable number, because it can be changed into a prime (327899669) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 651637 + ... + 652139.

Almost surely, 2327899664 is an apocalyptic number.

327899664 is the 18108-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 327899664

327899664 is an abundant number, since it is smaller than the sum of its proper divisors (623027599).

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

327899664 is an frugal number, since it uses more digits than its factorization.

327899664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1026 (or 508 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The cubic root of 327899664 is about 689.5731197006.

The spelling of 327899664 in words is "three hundred twenty-seven million, eight hundred ninety-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 503 648 1006 1296 1509 2012 3018 4024 4527 6036 8048 9054 12072 13581 18108 24144 27162 36216 40743 54324 72432 81486 108648 162972 217296 253009 325944 506018 651888 759027 1012036 1518054 2024072 2277081 3036108 4048144 4554162 6072216 6831243 9108324 12144432 13662486 18216648 20493729 27324972 36433296 40987458 54649944 81974916 109299888 163949832 327899664