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680437376 = 2717312701
BaseRepresentation
bin101000100011101…
…010011010000000
31202102100210121022
4220203222122000
52343142444001
6151304045012
722601423303
oct5043523200
91672323538
10680437376
1131a0a8743
1216ba63768
13aac80088
1466524b3a
153eb0b11b
hex288ea680

680437376 has 32 divisors (see below), whose sum is σ = 1435302180. Its totient is φ = 320204800.

The previous prime is 680437361. The next prime is 680437379. The reversal of 680437376 is 673734086.

It can be written as a sum of positive squares in 2 ways, for example, as 596531776 + 83905600 = 24424^2 + 9160^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (680437379) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 154175 + ... + 158526.

Almost surely, 2680437376 is an apocalyptic number.

It is an amenable number.

680437376 is an abundant number, since it is smaller than the sum of its proper divisors (754864804).

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

680437376 is a wasteful number, since it uses less digits than its factorization.

680437376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312732 (or 312720 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 44.

The square root of 680437376 is about 26085.1945747008. The cubic root of 680437376 is about 879.5544300803.

The spelling of 680437376 in words is "six hundred eighty million, four hundred thirty-seven thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 1088 2176 312701 625402 1250804 2501608 5003216 5315917 10006432 10631834 20012864 21263668 40025728 42527336 85054672 170109344 340218688 680437376