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630733824 = 2103373259
BaseRepresentation
bin100101100110000…
…011110000000000
31121221211121011000
4211212003300000
52242431440244
6142330452000
721426102060
oct4546036000
91557747130
10630733824
112a403a726
12157294000
13a08998a6
145daa73a0
153a58e169
hex25983c00

630733824 has 176 divisors, whose sum is σ = 2135430400. Its totient is φ = 180154368.

The previous prime is 630733819. The next prime is 630733871. The reversal of 630733824 is 428337036.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 191907 + ... + 195165.

Almost surely, 2630733824 is an apocalyptic number.

630733824 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 630733824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1067715200).

630733824 is an abundant number, since it is smaller than the sum of its proper divisors (1504696576).

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

630733824 is a wasteful number, since it uses less digits than its factorization.

630733824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3295 (or 3271 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 630733824 is about 25114.4146656855. The cubic root of 630733824 is about 857.5946052976.

The spelling of 630733824 in words is "six hundred thirty million, seven hundred thirty-three thousand, eight hundred twenty-four".