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632634264 = 23324125227
BaseRepresentation
bin100101101101010…
…011101110011000
31122002102011001200
4211231103232120
52243423244024
6142435314200
721451205523
oct4555235630
91562364050
10632634264
112a5118539
12157a4b960
13a10b3902
146003dbba
153a8172c9
hex25b53b98

632634264 has 72 divisors (see below), whose sum is σ = 1756529580. Its totient is φ = 205695360.

The previous prime is 632634263. The next prime is 632634271. The reversal of 632634264 is 462436236.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×6326342642 = 800452223973643392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (632634263) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 118419 + ... + 123645.

Almost surely, 2632634264 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 632634264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878264790).

632634264 is an abundant number, since it is smaller than the sum of its proper divisors (1123895316).

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

632634264 is a wasteful number, since it uses less digits than its factorization.

632634264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5321 (or 5273 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

The square root of 632634264 is about 25152.2218501666. The cubic root of 632634264 is about 858.4550701832.

The spelling of 632634264 in words is "six hundred thirty-two million, six hundred thirty-four thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 492 738 984 1476 1681 2952 3362 5043 5227 6724 10086 10454 13448 15129 15681 20172 20908 30258 31362 40344 41816 47043 60516 62724 94086 121032 125448 188172 214307 376344 428614 642921 857228 1285842 1714456 1928763 2571684 3857526 5143368 7715052 8786587 15430104 17573174 26359761 35146348 52719522 70292696 79079283 105439044 158158566 210878088 316317132 632634264