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630328320 = 21032513679
BaseRepresentation
bin100101100100100…
…000110000000000
31121221001222220100
4211210200300000
52242331001240
6142314042400
721422462616
oct4544406000
91557058810
10630328320
112a3892aa6
12157119400
13a078714b
145d9dd6b6
153a50de30
hex25920c00

630328320 has 132 divisors (see below), whose sum is σ = 2184230880. Its totient is φ = 168075264.

The previous prime is 630328289. The next prime is 630328331. The reversal of 630328320 is 23823036.

630328320 is a `hidden beast` number, since 630 + 3 + 2 + 8 + 3 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39241 + ... + 52919.

Almost surely, 2630328320 is an apocalyptic number.

630328320 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 630328320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1092115440).

630328320 is an abundant number, since it is smaller than the sum of its proper divisors (1553902560).

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

630328320 is a wasteful number, since it uses less digits than its factorization.

630328320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13710 (or 13689 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 630328320 is about 25106.3402350880. The cubic root of 630328320 is about 857.4107810061.

The spelling of 630328320 in words is "six hundred thirty million, three hundred twenty-eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1152 1280 1440 1536 1920 2304 2560 2880 3072 3840 4608 5120 5760 7680 9216 11520 13679 15360 23040 27358 41037 46080 54716 68395 82074 109432 123111 136790 164148 205185 218864 246222 273580 328296 410370 437728 492444 547160 615555 656592 820740 875456 984888 1094320 1231110 1313184 1641480 1750912 1969776 2188640 2462220 2626368 3282960 3501824 3939552 4377280 4924440 5252736 6565920 7003648 7879104 8754560 9848880 10505472 13131840 14007296 15758208 17509120 19697760 21010944 26263680 31516416 35018240 39395520 42021888 52527360 63032832 70036480 78791040 105054720 126065664 157582080 210109440 315164160 630328320