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634433064 = 2331710211523
BaseRepresentation
bin100101110100001…
…010111000101000
31122012210112112220
4211310022320220
52244403324224
6142542034040
721502410036
oct4564127050
91565715486
10634433064
112a6136a51
12158578920
13a15935a5
146038b556
153aa70279
hex25d0ae28

634433064 has 64 divisors (see below), whose sum is σ = 1682130240. Its totient is φ = 198712320.

The previous prime is 634433021. The next prime is 634433069. The reversal of 634433064 is 460334436.

It is not an unprimeable number, because it can be changed into a prime (634433069) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 415807 + ... + 417329.

It is an arithmetic number, because the mean of its divisors is an integer number (26283285).

Almost surely, 2634433064 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 634433064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841065120).

634433064 is an abundant number, since it is smaller than the sum of its proper divisors (1047697176).

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

634433064 is a wasteful number, since it uses less digits than its factorization.

634433064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2570 (or 2566 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 33.

The square root of 634433064 is about 25187.9547403119. The cubic root of 634433064 is about 859.2679293761.

The spelling of 634433064 in words is "six hundred thirty-four million, four hundred thirty-three thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 1021 1523 2042 3046 3063 4084 4569 6092 6126 8168 9138 12184 12252 17357 18276 24504 25891 34714 36552 51782 52071 69428 77673 103564 104142 138856 155346 207128 208284 310692 416568 621384 1554983 3109966 4664949 6219932 9329898 12439864 18659796 26434711 37319592 52869422 79304133 105738844 158608266 211477688 317216532 634433064