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634404864 = 214312907
BaseRepresentation
bin100101110100000…
…100000000000000
31122012202002212110
4211310010000000
52244401423424
6142541255320
721502231602
oct4564040000
91565662773
10634404864
112a6117845
12158564540
13a15837c2
1460381172
153aa66c29
hex25d04000

634404864 has 60 divisors (see below), whose sum is σ = 1691825744. Its totient is φ = 211451904.

The previous prime is 634404833. The next prime is 634404887. The reversal of 634404864 is 468404436.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 42699 + ... + 55605.

Almost surely, 2634404864 is an apocalyptic number.

634404864 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 634404864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845912872).

634404864 is an abundant number, since it is smaller than the sum of its proper divisors (1057420880).

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

634404864 is an equidigital number, since it uses as much as digits as its factorization.

634404864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12938 (or 12912 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 39.

The square root of 634404864 is about 25187.3949427089. The cubic root of 634404864 is about 859.2551979491.

The spelling of 634404864 in words is "six hundred thirty-four million, four hundred four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 4096 6144 8192 12288 12907 16384 24576 25814 38721 49152 51628 77442 103256 154884 206512 309768 413024 619536 826048 1239072 1652096 2478144 3304192 4956288 6608384 9912576 13216768 19825152 26433536 39650304 52867072 79300608 105734144 158601216 211468288 317202432 634404864