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634605696 = 27322343557
BaseRepresentation
bin100101110100110…
…101000010000000
31122020010022100200
4211310311002000
52244424340241
6142545445200
721504026244
oct4564650200
91566108320
10634605696
112a624471a
12158640800
13a162403a
14603d4424
153aaa64b6
hex25d35080

634605696 has 192 divisors, whose sum is σ = 1953357120. Its totient is φ = 197277696.

The previous prime is 634605677. The next prime is 634605707. The reversal of 634605696 is 696506436.

634605696 is a `hidden beast` number, since 6 + 34 + 605 + 6 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1139050 + ... + 1139606.

It is an arithmetic number, because the mean of its divisors is an integer number (10173735).

Almost surely, 2634605696 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 634605696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (976678560).

634605696 is an abundant number, since it is smaller than the sum of its proper divisors (1318751424).

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

634605696 is a wasteful number, since it uses less digits than its factorization.

634605696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The square root of 634605696 is about 25191.3813833224. The cubic root of 634605696 is about 859.3458591569.

The spelling of 634605696 in words is "six hundred thirty-four million, six hundred five thousand, six hundred ninety-six".