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634094496 = 253275131
BaseRepresentation
bin100101110010111…
…000001110100000
31122012011100010100
4211302320032200
52244312010441
6142530502400
721466500000
oct4562701640
91565140110
10634094496
112a5a25642
12158434a00
13a14a5459
1460300000
153aa04cb6
hex25cb83a0

634094496 has 216 divisors, whose sum is σ = 2119781664. Its totient is φ = 179786880.

The previous prime is 634094459. The next prime is 634094497. The reversal of 634094496 is 694490436.

It is a happy number.

634094496 is a `hidden beast` number, since 634 + 0 + 9 + 4 + 4 + 9 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (634094497) 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 35 ways as a sum of consecutive naturals, for example, 4840351 + ... + 4840481.

It is an arithmetic number, because the mean of its divisors is an integer number (9813804).

Almost surely, 2634094496 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 634094496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1059890832).

634094496 is an abundant number, since it is smaller than the sum of its proper divisors (1485687168).

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

634094496 is an equidigital number, since it uses as much as digits as its factorization.

634094496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 634094496 is about 25181.2330119079. The cubic root of 634094496 is about 859.1150514727.

The spelling of 634094496 in words is "six hundred thirty-four million, ninety-four thousand, four hundred ninety-six".