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321043680 = 25325222947
BaseRepresentation
bin10011001000101…
…011110011100000
3211101002201010200
4103020223303200
51124141344210
651505025200
710645553256
oct2310536340
9741081120
10321043680
11155247961
128b625200
1351688299
14308d05d6
151d2b90c0
hex1322bce0

321043680 has 72 divisors (see below), whose sum is σ = 1095566472. Its totient is φ = 85611264.

The previous prime is 321043663. The next prime is 321043739. The reversal of 321043680 is 86340123.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 110034 + ... + 112913.

It is an arithmetic number, because the mean of its divisors is an integer number (15216201).

Almost surely, 2321043680 is an apocalyptic number.

321043680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

321043680 is an abundant number, since it is smaller than the sum of its proper divisors (774522792).

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

321043680 is a wasteful number, since it uses less digits than its factorization.

321043680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222968 (or 222957 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 321043680 is about 17917.6918156329. The cubic root of 321043680 is about 684.7331832427.

The spelling of 321043680 in words is "three hundred twenty-one million, forty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 222947 445894 668841 891788 1114735 1337682 1783576 2006523 2229470 2675364 3344205 3567152 4013046 4458940 5350728 6688410 7134304 8026092 8917880 10032615 10701456 13376820 16052184 17835760 20065230 21402912 26753640 32104368 35671520 40130460 53507280 64208736 80260920 107014560 160521840 321043680