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639313344 = 2633894157
BaseRepresentation
bin100110000110110…
…010010111000000
31122112222111001000
4212012302113000
52302131011334
6143234412000
721562034205
oct4606622700
91575874030
10639313344
112a896a63a
1215a131000
13a25b1a27
1460c9bcac
153b1d6299
hex261b25c0

639313344 has 112 divisors (see below), whose sum is σ = 1901037600. Its totient is φ = 210659328.

The previous prime is 639313309. The next prime is 639313351. The reversal of 639313344 is 443313936.

639313344 is a `hidden beast` number, since 639 + 3 + 13 + 3 + 4 + 4 = 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 a junction number, because it is equal to n+sod(n) for n = 639313299 and 639313308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151714 + ... + 155870.

It is an arithmetic number, because the mean of its divisors is an integer number (16973550).

Almost surely, 2639313344 is an apocalyptic number.

639313344 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 639313344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (950518800).

639313344 is an abundant number, since it is smaller than the sum of its proper divisors (1261724256).

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

639313344 is a wasteful number, since it uses less digits than its factorization.

639313344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4267 (or 4251 counting only the distinct ones).

The product of its digits is 69984, while the sum is 36.

The square root of 639313344 is about 25284.6464084432. The cubic root of 639313344 is about 861.4655666609.

The spelling of 639313344 in words is "six hundred thirty-nine million, three hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 89 96 108 144 178 192 216 267 288 356 432 534 576 712 801 864 1068 1424 1602 1728 2136 2403 2848 3204 4157 4272 4806 5696 6408 8314 8544 9612 12471 12816 16628 17088 19224 24942 25632 33256 37413 38448 49884 51264 66512 74826 76896 99768 112239 133024 149652 153792 199536 224478 266048 299304 369973 399072 448956 598608 739946 798144 897912 1109919 1197216 1479892 1795824 2219838 2394432 2959784 3329757 3591648 4439676 5919568 6659514 7183296 8879352 9989271 11839136 13319028 17758704 19978542 23678272 26638056 35517408 39957084 53276112 71034816 79914168 106552224 159828336 213104448 319656672 639313344