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644134860 = 2232559131463
BaseRepresentation
bin100110011001001…
…011011111001100
31122220001102220200
4212121023133030
52304344303420
6143530013500
721651025125
oct4631133714
91586042820
10644134860
11300663066
1215b877290
13a35ac4b5
146179504c
153b839b90
hex2664b7cc

644134860 has 144 divisors (see below), whose sum is σ = 2006484480. Its totient is φ = 167207040.

The previous prime is 644134787. The next prime is 644134889. The reversal of 644134860 is 68431446.

644134860 is a `hidden beast` number, since 644 + 1 + 3 + 4 + 8 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1390989 + ... + 1391451.

It is an arithmetic number, because the mean of its divisors is an integer number (13933920).

Almost surely, 2644134860 is an apocalyptic number.

644134860 is a gapful number since it is divisible by the number (60) 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 644134860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003242240).

644134860 is an abundant number, since it is smaller than the sum of its proper divisors (1362349620).

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

644134860 is a wasteful number, since it uses less digits than its factorization.

644134860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 644134860 is about 25379.8120560417. The cubic root of 644134860 is about 863.6257863760.

The spelling of 644134860 in words is "six hundred forty-four million, one hundred thirty-four thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 59 60 90 118 131 177 180 236 262 295 354 393 463 524 531 590 655 708 786 885 926 1062 1179 1180 1310 1389 1572 1770 1852 1965 2124 2315 2358 2620 2655 2778 3540 3930 4167 4630 4716 5310 5556 5895 6945 7729 7860 8334 9260 10620 11790 13890 15458 16668 20835 23187 23580 27317 27780 30916 38645 41670 46374 54634 60653 69561 77290 81951 83340 92748 109268 115935 121306 136585 139122 154580 163902 181959 231870 242612 245853 273170 278244 303265 327804 347805 363918 409755 463740 491706 545877 546340 606530 695610 727836 819510 909795 983412 1091754 1213060 1229265 1391220 1639020 1819590 2183508 2458530 2729385 3578527 3639180 4917060 5458770 7157054 10735581 10917540 14314108 17892635 21471162 32206743 35785270 42942324 53677905 64413486 71570540 107355810 128826972 161033715 214711620 322067430 644134860