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630931840 = 27572113159
BaseRepresentation
bin100101100110110…
…100000110000000
31121222012122202221
4211212310012000
52243004304330
6142335020424
721430555300
oct4546640600
91558178687
10630931840
112a4165480
1215736a714
13a0938a66
145db19600
153a5ccb7a
hex259b4180

630931840 has 384 divisors, whose sum is σ = 2009318400. Its totient is φ = 187084800.

The previous prime is 630931823. The next prime is 630931877. The reversal of 630931840 is 48139036.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 630931796 and 630931805.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 10693731 + ... + 10693789.

It is an arithmetic number, because the mean of its divisors is an integer number (5232600).

Almost surely, 2630931840 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 630931840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004659200).

630931840 is an abundant number, since it is smaller than the sum of its proper divisors (1378386560).

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

630931840 is a wasteful number, since it uses less digits than its factorization.

630931840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 630931840 is about 25118.3566341431. The cubic root of 630931840 is about 857.6843418758.

The spelling of 630931840 in words is "six hundred thirty million, nine hundred thirty-one thousand, eight hundred forty".