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634149252 = 22321112291303
BaseRepresentation
bin100101110011000…
…101100110000100
31122012021010020100
4211303011212010
52244320234002
6142532004100
721500115432
oct4563054604
91565233210
10634149252
112a5a627a0
12158460630
13a14c4359
1460315d52
153aa1611c
hex25cc5984

634149252 has 72 divisors (see below), whose sum is σ = 1751480640. Its totient is φ = 191862720.

The previous prime is 634149221. The next prime is 634149281. The reversal of 634149252 is 252941436.

It is a happy number.

634149252 is a `hidden beast` number, since 634 + 14 + 9 + 2 + 5 + 2 = 666.

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

It is an alternating number because its digits alternate between even and odd.

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 23 ways as a sum of consecutive naturals, for example, 486033 + ... + 487335.

It is an arithmetic number, because the mean of its divisors is an integer number (24326120).

Almost surely, 2634149252 is an apocalyptic number.

It is an amenable number.

634149252 is an abundant number, since it is smaller than the sum of its proper divisors (1117331388).

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

634149252 is a wasteful number, since it uses less digits than its factorization.

634149252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2553 (or 2548 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 634149252 is about 25182.3202266987. The cubic root of 634149252 is about 859.1397798321.

The spelling of 634149252 in words is "six hundred thirty-four million, one hundred forty-nine thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 1229 1303 2458 2606 3687 3909 4916 5212 7374 7818 11061 11727 13519 14333 14748 15636 22122 23454 27038 28666 40557 42999 44244 46908 54076 57332 81114 85998 121671 128997 162228 171996 243342 257994 486684 515988 1601387 3202774 4804161 6405548 9608322 14412483 17615257 19216644 28824966 35230514 52845771 57649932 70461028 105691542 158537313 211383084 317074626 634149252