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691680384 = 273466713
BaseRepresentation
bin101001001110100…
…011010010000000
31210012112000010000
4221032203102000
52404032233014
6152345040000
723066120613
oct5116432200
91705460100
10691680384
1132548778a
12173786000
13b03b8645
1467c1017a
1540acc509
hex293a3480

691680384 has 80 divisors (see below), whose sum is σ = 2058460470. Its totient is φ = 230556672.

The previous prime is 691680349. The next prime is 691680487. The reversal of 691680384 is 483086196.

It can be written as a sum of positive squares in only one way, i.e., 482241600 + 209438784 = 21960^2 + 14472^2 .

It is a super-2 number, since 2×6916803842 = 956843507220774912, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 22989 + ... + 43724.

Almost surely, 2691680384 is an apocalyptic number.

691680384 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

691680384 is an abundant number, since it is smaller than the sum of its proper divisors (1366780086).

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

691680384 is an equidigital number, since it uses as much as digits as its factorization.

691680384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66739 (or 66718 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 691680384 is about 26299.8171856764. The cubic root of 691680384 is about 884.3723443905.

The spelling of 691680384 in words is "six hundred ninety-one million, six hundred eighty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1728 2592 3456 5184 10368 66713 133426 200139 266852 400278 533704 600417 800556 1067408 1200834 1601112 1801251 2134816 2401668 3202224 3602502 4269632 4803336 5403753 6404448 7205004 8539264 9606672 10807506 12808896 14410008 19213344 21615012 25617792 28820016 38426688 43230024 57640032 76853376 86460048 115280064 172920096 230560128 345840192 691680384