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679682304 = 28327173767
BaseRepresentation
bin101000100000110…
…010000100000000
31202100221102211200
4220200302010000
52342444313204
6151235541200
722562130030
oct5040620400
91670842750
10679682304
11319732414
1216b75a800
13aaa774a2
14663a98c0
153ea0c539
hex28832100

679682304 has 432 divisors, whose sum is σ = 2471833728. Its totient is φ = 175177728.

The previous prime is 679682261. The next prime is 679682327. The reversal of 679682304 is 403286976.

It is a self number, because there is not a number n which added to its sum of digits gives 679682304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10144479 + ... + 10144545.

Almost surely, 2679682304 is an apocalyptic number.

679682304 is a gapful number since it is divisible by the number (64) 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 679682304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1235916864).

679682304 is an abundant number, since it is smaller than the sum of its proper divisors (1792151424).

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

679682304 is a wasteful number, since it uses less digits than its factorization.

679682304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 679682304 is about 26070.7173664247. The cubic root of 679682304 is about 879.2289665108.

The spelling of 679682304 in words is "six hundred seventy-nine million, six hundred eighty-two thousand, three hundred four".