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630244128 = 25317419419
BaseRepresentation
bin100101100100001…
…100001100100000
31121220220201102010
4211210030030200
52242320303003
6142312152520
721421662303
oct4544141440
91556821363
10630244128
112a3835818
12157098740
13a0757a27
145d9bab3a
153a4e4003
hex2590c320

630244128 has 96 divisors (see below), whose sum is σ = 1794623040. Its totient is φ = 192880640.

The previous prime is 630244127. The next prime is 630244133. The reversal of 630244128 is 821442036.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 630244095 and 630244104.

It is not an unprimeable number, because it can be changed into a prime (630244127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62203 + ... + 71621.

It is an arithmetic number, because the mean of its divisors is an integer number (18693990).

Almost surely, 2630244128 is an apocalyptic number.

630244128 is a gapful number since it is divisible by the number (68) 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 630244128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (897311520).

630244128 is an abundant number, since it is smaller than the sum of its proper divisors (1164378912).

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

630244128 is a wasteful number, since it uses less digits than its factorization.

630244128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9490 (or 9482 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 630244128 is about 25104.6634711561. The cubic root of 630244128 is about 857.3726049528.

The spelling of 630244128 in words is "six hundred thirty million, two hundred forty-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 41 48 51 68 82 96 102 123 136 164 204 246 272 328 408 492 544 656 697 816 984 1312 1394 1632 1968 2091 2788 3936 4182 5576 8364 9419 11152 16728 18838 22304 28257 33456 37676 56514 66912 75352 113028 150704 160123 226056 301408 320246 386179 452112 480369 640492 772358 904224 960738 1158537 1280984 1544716 1921476 2317074 2561968 3089432 3842952 4634148 5123936 6178864 6565043 7685904 9268296 12357728 13130086 15371808 18536592 19695129 26260172 37073184 39390258 52520344 78780516 105040688 157561032 210081376 315122064 630244128