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634626048 = 2133721731
BaseRepresentation
bin100101110100111…
…010000000000000
31122020011100021110
4211310322000000
52244431013143
6142550123320
721504142500
oct4564720000
91566140243
10634626048
112a6258a41
12158650540
13a1630394
14603dba00
153aaac533
hex25d3a000

634626048 has 336 divisors, whose sum is σ = 2151546624. Its totient is φ = 165150720.

The previous prime is 634626019. The next prime is 634626073. The reversal of 634626048 is 840626436.

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 634625997 and 634626015.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20471793 + ... + 20471823.

Almost surely, 2634626048 is an apocalyptic number.

634626048 is a gapful number since it is divisible by the number (68) 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 634626048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1075773312).

634626048 is an abundant number, since it is smaller than the sum of its proper divisors (1516920576).

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

634626048 is a wasteful number, since it uses less digits than its factorization.

634626048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The square root of 634626048 is about 25191.7853277611. The cubic root of 634626048 is about 859.3550455541.

The spelling of 634626048 in words is "six hundred thirty-four million, six hundred twenty-six thousand, forty-eight".