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639318312 = 233326911003
BaseRepresentation
bin100110000110110…
…011100100101000
31122112222201212000
4212012303210220
52302131141222
6143234451000
721562054533
oct4606634450
91575881760
10639318312
112a8973346
1215a133a60
13a25b4079
1460c9da1a
153b1d79ac
hex261b3928

639318312 has 64 divisors (see below), whose sum is σ = 1782648000. Its totient is φ = 212294592.

The previous prime is 639318283. The next prime is 639318313. The reversal of 639318312 is 213813936.

639318312 is a `hidden beast` number, since 639 + 3 + 1 + 8 + 3 + 12 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (639318313) 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, 52603 + ... + 63605.

It is an arithmetic number, because the mean of its divisors is an integer number (27853875).

Almost surely, 2639318312 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 639318312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891324000).

639318312 is an abundant number, since it is smaller than the sum of its proper divisors (1143329688).

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

639318312 is a wasteful number, since it uses less digits than its factorization.

639318312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11287 (or 11277 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 639318312 is about 25284.7446496895. The cubic root of 639318312 is about 861.4677980914.

The spelling of 639318312 in words is "six hundred thirty-nine million, three hundred eighteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 269 538 807 1076 1614 2152 2421 3228 4842 6456 7263 9684 11003 14526 19368 22006 29052 33009 44012 58104 66018 88024 99027 132036 198054 264072 297081 396108 594162 792216 1188324 2376648 2959807 5919614 8879421 11839228 17758842 23678456 26638263 35517684 53276526 71035368 79914789 106553052 159829578 213106104 319659156 639318312