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634923968 = 2672293691
BaseRepresentation
bin100101110110000…
…010101111000000
31122020201110221112
4211312002233000
52300020031333
6143000342452
721506523200
oct4566025700
91566643845
10634923968
112a6441858
12158774a28
13a1705b73
1460478400
153ab1a948
hex25d82bc0

634923968 has 84 divisors (see below), whose sum is σ = 1472760072. Its totient is φ = 270789120.

The previous prime is 634923907. The next prime is 634923977. The reversal of 634923968 is 869329436.

It is a congruent 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 11 ways as a sum of consecutive naturals, for example, 918503 + ... + 919193.

It is an arithmetic number, because the mean of its divisors is an integer number (17532858).

Almost surely, 2634923968 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 634923968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736380036).

634923968 is an abundant number, since it is smaller than the sum of its proper divisors (837836104).

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

634923968 is a wasteful number, since it uses less digits than its factorization.

634923968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010 (or 993 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 50.

The square root of 634923968 is about 25197.6976726049. The cubic root of 634923968 is about 859.4894969130.

The spelling of 634923968 in words is "six hundred thirty-four million, nine hundred twenty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 293 392 448 586 691 784 1172 1382 1568 2051 2344 2764 3136 4102 4688 4837 5528 8204 9376 9674 11056 14357 16408 18752 19348 22112 28714 32816 33859 38696 44224 57428 65632 67718 77392 114856 131264 135436 154784 202463 229712 270872 309568 404926 459424 541744 809852 918848 1083488 1417241 1619704 2166976 2834482 3239408 5668964 6478816 9920687 11337928 12957632 19841374 22675856 39682748 45351712 79365496 90703424 158730992 317461984 634923968