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680874336 = 25392347
BaseRepresentation
bin101000100101010…
…101000101100000
31202110012000000000
4220211111011200
52343300434321
6151321300000
722605223242
oct5045250540
91673160000
10680874336
1131a376a6a
12170034600
13ab0a3c2c
14665da092
153eb95826
hex28955160

680874336 has 240 divisors, whose sum is σ = 2142733824. Its totient is φ = 212471424.

The previous prime is 680874323. The next prime is 680874343. The reversal of 680874336 is 633478086.

It is a super-2 number, since 2×6808743362 = 927179722846881792, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 680874291 and 680874300.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 14486665 + ... + 14486711.

Almost surely, 2680874336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 680874336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071366912).

680874336 is an abundant number, since it is smaller than the sum of its proper divisors (1461859488).

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

680874336 is an frugal number, since it uses more digits than its factorization.

680874336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 680874336 is about 26093.5688628443. The cubic root of 680874336 is about 879.7426658032.

The spelling of 680874336 in words is "six hundred eighty million, eight hundred seventy-four thousand, three hundred thirty-six".