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631374336 = 2932181757
BaseRepresentation
bin100101101000100…
…000001000000000
31122000001010202200
4211220200020000
52243112434321
6142352313200
721434410335
oct4550401000
91560033680
10631374336
112a443797a
12157542800
13a0a622a8
145dbd298c
153a668d26
hex25a20200

631374336 has 120 divisors (see below), whose sum is σ = 1834676844. Its totient is φ = 209018880.

The previous prime is 631374329. The next prime is 631374343. The reversal of 631374336 is 633473136.

631374336 is a `hidden beast` number, since 6 + 313 + 7 + 4 + 336 = 666.

It is an interprime number because it is at equal distance from previous prime (631374329) and next prime (631374343).

It can be written as a sum of positive squares in 2 ways, for example, as 582932736 + 48441600 = 24144^2 + 6960^2 .

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 631374336.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 833670 + ... + 834426.

Almost surely, 2631374336 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 631374336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917338422).

631374336 is an abundant number, since it is smaller than the sum of its proper divisors (1203302508).

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

631374336 is a wasteful number, since it uses less digits than its factorization.

631374336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962 (or 943 counting only the distinct ones).

The product of its digits is 81648, while the sum is 36.

The square root of 631374336 is about 25127.1633098525. The cubic root of 631374336 is about 857.8848036778.

The spelling of 631374336 in words is "six hundred thirty-one million, three hundred seventy-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 181 192 256 288 362 384 512 543 576 724 757 768 1086 1152 1448 1514 1536 1629 2172 2271 2304 2896 3028 3258 4344 4542 4608 5792 6056 6516 6813 8688 9084 11584 12112 13032 13626 17376 18168 23168 24224 26064 27252 34752 36336 46336 48448 52128 54504 69504 72672 92672 96896 104256 109008 137017 139008 145344 193792 208512 218016 274034 278016 290688 387584 411051 417024 436032 548068 581376 822102 834048 872064 1096136 1162752 1233153 1644204 1744128 2192272 2466306 3288408 3488256 4384544 4932612 6576816 8769088 9865224 13153632 17538176 19730448 26307264 35076352 39460896 52614528 70152704 78921792 105229056 157843584 210458112 315687168 631374336