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630515340 = 223457213247
BaseRepresentation
bin100101100101001…
…110011010001100
31121221102111110000
4211211032122030
52242402442330
6142322044300
721424202100
oct4545163214
91557374400
10630515340
112a3a00564
121571a9690
13a0821300
145da4b900
153a549560
hex2594e68c

630515340 has 540 divisors, whose sum is σ = 2544496416. Its totient is φ = 130201344.

The previous prime is 630515317. The next prime is 630515351. The reversal of 630515340 is 43515036.

630515340 is a `hidden beast` number, since 6 + 305 + 15 + 340 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 13415197 + ... + 13415243.

Almost surely, 2630515340 is an apocalyptic number.

630515340 is a gapful number since it is divisible by the number (60) 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 630515340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272248208).

630515340 is an abundant number, since it is smaller than the sum of its proper divisors (1913981076).

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

630515340 is a wasteful number, since it uses less digits than its factorization.

630515340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 630515340 is about 25110.0645160462. The cubic root of 630515340 is about 857.4955712669.

The spelling of 630515340 in words is "six hundred thirty million, five hundred fifteen thousand, three hundred forty".