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630254016 = 26327192433
BaseRepresentation
bin100101100100001…
…110100111000000
31121220221012222100
4211210032213000
52242321112031
6142312310400
721422033160
oct4544164700
91556835870
10630254016
112a3842197
121570a2400
13a075c392
145d9c05a0
153a4e6de6
hex2590e9c0

630254016 has 252 divisors, whose sum is σ = 2183995632. Its totient is φ = 170201088.

The previous prime is 630253999. The next prime is 630254017. The reversal of 630254016 is 610452036.

630254016 is a `hidden beast` number, since 630 + 25 + 4 + 0 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (630254017) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1455336 + ... + 1455768.

Almost surely, 2630254016 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 630254016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1091997816).

630254016 is an abundant number, since it is smaller than the sum of its proper divisors (1553741616).

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

630254016 is a wasteful number, since it uses less digits than its factorization.

630254016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 630254016 is about 25104.8604059055. The cubic root of 630254016 is about 857.3770887476.

The spelling of 630254016 in words is "six hundred thirty million, two hundred fifty-four thousand, sixteen".