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630358016 = 21519237
BaseRepresentation
bin100101100100101…
…000000000000000
31121221010111122012
4211210220000000
52242332424031
6142314432052
721422645321
oct4544500000
91557114565
10630358016
112a3903342
12157132628
13a0797812
145da0a448
153a517b2b
hex25928000

630358016 has 32 divisors (see below), whose sum is σ = 1260762330. Its totient is φ = 315162624.

The previous prime is 630357997. The next prime is 630358049. The reversal of 630358016 is 610853036.

It can be written as a sum of positive squares in only one way, i.e., 610287616 + 20070400 = 24704^2 + 4480^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 23150 + ... + 42386.

Almost surely, 2630358016 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 630358016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630381165).

630358016 is an abundant number, since it is smaller than the sum of its proper divisors (630404314).

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

630358016 is an frugal number, since it uses more digits than its factorization.

630358016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19267 (or 19239 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 630358016 is about 25106.9316325193. The cubic root of 630358016 is about 857.4242455610.

The spelling of 630358016 in words is "six hundred thirty million, three hundred fifty-eight thousand, sixteen".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 19237 32768 38474 76948 153896 307792 615584 1231168 2462336 4924672 9849344 19698688 39397376 78794752 157589504 315179008 630358016