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632234680 = 235711218661
BaseRepresentation
bin100101101011110…
…010001010111000
31122001122211221021
4211223302022320
52243323002210
6142422552224
721444622540
oct4553621270
91561584837
10632234680
112a4975300
12157898674
13a0ca3a7c
145dd78320
153a788bda
hex25af22b8

632234680 has 96 divisors (see below), whose sum is σ = 1787073120. Its totient is φ = 197049600.

The previous prime is 632234653. The next prime is 632234711. The reversal of 632234680 is 86432236.

632234680 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 23 ways as a sum of consecutive naturals, for example, 24550 + ... + 43210.

It is an arithmetic number, because the mean of its divisors is an integer number (18615345).

Almost surely, 2632234680 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 632234680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893536560).

632234680 is an abundant number, since it is smaller than the sum of its proper divisors (1154838440).

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

632234680 is a wasteful number, since it uses less digits than its factorization.

632234680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18701 (or 18686 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

The square root of 632234680 is about 25144.2772813219. The cubic root of 632234680 is about 858.2742931919.

The spelling of 632234680 in words is "six hundred thirty-two million, two hundred thirty-four thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 121 140 154 220 242 280 308 385 440 484 605 616 770 847 968 1210 1540 1694 2420 3080 3388 4235 4840 6776 8470 16940 18661 33880 37322 74644 93305 130627 149288 186610 205271 261254 373220 410542 522508 653135 746440 821084 1026355 1045016 1306270 1436897 1642168 2052710 2257981 2612540 2873794 4105420 4515962 5225080 5747588 7184485 8210840 9031924 11289905 11495176 14368970 15805867 18063848 22579810 28737940 31611734 45159620 57475880 63223468 79029335 90319240 126446936 158058670 316117340 632234680