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632081934 = 233112334567
BaseRepresentation
bin100101101011001…
…100111000001110
31122001101002102000
4211223030320032
52243303110214
6142415413130
721443415321
oct4553147016
91561332360
10632081934
112a4880570
121578241a6
13a0c4c3a3
145dd387b8
153a758809
hex25acce0e

632081934 has 64 divisors (see below), whose sum is σ = 1539233280. Its totient is φ = 190676160.

The previous prime is 632081899. The next prime is 632081963. The reversal of 632081934 is 439180236.

632081934 is a `hidden beast` number, since 632 + 0 + 8 + 19 + 3 + 4 = 666.

632081934 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136119 + ... + 140685.

It is an arithmetic number, because the mean of its divisors is an integer number (24050520).

Almost surely, 2632081934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 632081934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769616640).

632081934 is an abundant number, since it is smaller than the sum of its proper divisors (907151346).

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

632081934 is a wasteful number, since it uses less digits than its factorization.

632081934 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4822 (or 4816 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 632081934 is about 25141.2397069039. The cubic root of 632081934 is about 858.2051687943.

The spelling of 632081934 in words is "six hundred thirty-two million, eighty-one thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 233 297 466 594 699 1398 2097 2563 4194 4567 5126 6291 7689 9134 12582 13701 15378 23067 27402 41103 46134 50237 69201 82206 100474 123309 138402 150711 246618 301422 452133 904266 1064111 1356399 2128222 2712798 3192333 6384666 9576999 11705221 19153998 23410442 28730997 35115663 57461994 70231326 105346989 210693978 316040967 632081934