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640631394 = 2321337611213
BaseRepresentation
bin100110001011110…
…100001001100010
31122122110110001200
4212023310021202
52303000201034
6143322542030
721606164004
oct4613641142
91578413050
10640631394
112a968a937
1215a667916
13a2953940
1461122374
153b396a99
hex262f4262

640631394 has 96 divisors (see below), whose sum is σ = 1561660464. Its totient is φ = 188490240.

The previous prime is 640631309. The next prime is 640631413. The reversal of 640631394 is 493136046.

640631394 is a `hidden beast` number, since 640 + 6 + 3 + 1 + 3 + 9 + 4 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 31775769 + 608855625 = 5637^2 + 24675^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 527532 + ... + 528744.

Almost surely, 2640631394 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 640631394, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780830232).

640631394 is an abundant number, since it is smaller than the sum of its proper divisors (921029070).

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

640631394 is a wasteful number, since it uses less digits than its factorization.

640631394 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 640631394 is about 25310.6972246914. The cubic root of 640631394 is about 862.0571781058.

The spelling of 640631394 in words is "six hundred forty million, six hundred thirty-one thousand, three hundred ninety-four".

Divisors: 1 2 3 6 9 13 18 26 37 39 61 74 78 111 117 122 183 222 234 333 366 481 549 666 793 962 1098 1213 1443 1586 2257 2379 2426 2886 3639 4329 4514 4758 6771 7137 7278 8658 10917 13542 14274 15769 20313 21834 29341 31538 40626 44881 47307 58682 73993 88023 89762 94614 134643 141921 147986 176046 221979 264069 269286 283842 403929 443958 528138 583453 665937 807858 961909 1166906 1331874 1750359 1923818 2737741 2885727 3500718 5251077 5475482 5771454 8213223 8657181 10502154 16426446 17314362 24639669 35590633 49279338 71181266 106771899 213543798 320315697 640631394