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634942880 = 255111327751
BaseRepresentation
bin100101110110000…
…111010110100000
31122020202102212222
4211312013112200
52300021133010
6143001010212
721506632265
oct4566072640
91566672788
10634942880
112a6454a90
12158783968
13a1711660
146048126c
153ab21355
hex25d875a0

634942880 has 96 divisors (see below), whose sum is σ = 1762363008. Its totient is φ = 213120000.

The previous prime is 634942879. The next prime is 634942897. The reversal of 634942880 is 88249436.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9005 + ... + 36755.

It is an arithmetic number, because the mean of its divisors is an integer number (18357948).

Almost surely, 2634942880 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 634942880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881181504).

634942880 is an abundant number, since it is smaller than the sum of its proper divisors (1127420128).

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

634942880 is a wasteful number, since it uses less digits than its factorization.

634942880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27790 (or 27782 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 44.

The square root of 634942880 is about 25198.0729421914. The cubic root of 634942880 is about 859.4980304827.

The spelling of 634942880 in words is "six hundred thirty-four million, nine hundred forty-two thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 32 40 44 52 55 65 80 88 104 110 130 143 160 176 208 220 260 286 352 416 440 520 572 715 880 1040 1144 1430 1760 2080 2288 2860 4576 5720 11440 22880 27751 55502 111004 138755 222008 277510 305261 360763 444016 555020 610522 721526 888032 1110040 1221044 1443052 1526305 1803815 2220080 2442088 2886104 3052610 3607630 3968393 4440160 4884176 5772208 6105220 7215260 7936786 9768352 11544416 12210440 14430520 15873572 19841965 24420880 28861040 31747144 39683930 48841760 57722080 63494288 79367860 126988576 158735720 317471440 634942880