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631532304 = 2432132911633
BaseRepresentation
bin100101101001000…
…110101100010000
31122000100011110100
4211221012230100
52243133013204
6142355532400
721435636024
oct4551065420
91560304410
10631532304
112a4535627
121575ba100
13a0ab9170
145dc34384
153a69aa39
hex25a46b10

631532304 has 120 divisors (see below), whose sum is σ = 1969170840. Its totient is φ = 187600896.

The previous prime is 631532299. The next prime is 631532323. The reversal of 631532304 is 403235136.

It is a happy number.

631532304 is a `hidden beast` number, since 631 + 5 + 3 + 23 + 0 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 55532304 + 576000000 = 7452^2 + 24000^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48472 + ... + 60104.

It is an arithmetic number, because the mean of its divisors is an integer number (16409757).

Almost surely, 2631532304 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 631532304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984585420).

631532304 is an abundant number, since it is smaller than the sum of its proper divisors (1337638536).

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

631532304 is a wasteful number, since it uses less digits than its factorization.

631532304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11689 (or 11680 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 631532304 is about 25130.3064844025. The cubic root of 631532304 is about 857.9563444624.

The spelling of 631532304 in words is "six hundred thirty-one million, five hundred thirty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 29 36 39 48 52 58 72 78 87 104 116 117 144 156 174 208 232 234 261 312 348 377 464 468 522 624 696 754 936 1044 1131 1392 1508 1872 2088 2262 3016 3393 4176 4524 6032 6786 9048 11633 13572 18096 23266 27144 34899 46532 54288 69798 93064 104697 139596 151229 186128 209394 279192 302458 337357 418788 453687 558384 604916 674714 837576 907374 1012071 1209832 1349428 1361061 1675152 1814748 2024142 2419664 2698856 2722122 3036213 3629496 4048284 4385641 5397712 5444244 6072426 7258992 8096568 8771282 10888488 12144852 13156923 16193136 17542564 21776976 24289704 26313846 35085128 39470769 48579408 52627692 70170256 78941538 105255384 157883076 210510768 315766152 631532304