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630426096 = 2432174353113
BaseRepresentation
bin100101100100111…
…000100111110000
31121221020222000200
4211210320213300
52242342113341
6142320115200
721423350646
oct4544704760
91557228020
10630426096
112a394a503
12157165b00
13a07bc7c1
145da27196
153a52cdb6
hex259389f0

630426096 has 240 divisors, whose sum is σ = 1964847456. Its totient is φ = 187858944.

The previous prime is 630426089. The next prime is 630426107. The reversal of 630426096 is 690624036.

630426096 is a `hidden beast` number, since 6 + 3 + 0 + 42 + 609 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 630426096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5578936 + ... + 5579048.

Almost surely, 2630426096 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 630426096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982423728).

630426096 is an abundant number, since it is smaller than the sum of its proper divisors (1334421360).

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

630426096 is a wasteful number, since it uses less digits than its factorization.

630426096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 630426096 is about 25108.2873967939. The cubic root of 630426096 is about 857.4551123276.

It can be divided in two parts, 6304 and 26096, that added together give a square (32400 = 1802).

The spelling of 630426096 in words is "six hundred thirty million, four hundred twenty-six thousand, ninety-six".