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679730688 = 29327131621
BaseRepresentation
bin101000100000111…
…101111000000000
31202101000220012200
4220200331320000
52343002340223
6151240553200
722562421060
oct5040757000
91671026180
10679730688
113197657aa
1216b782800
13aaa93510
14663bd3a0
153ea1ba43
hex2883de00

679730688 has 240 divisors, whose sum is σ = 2415949536. Its totient is φ = 179159040.

The previous prime is 679730687. The next prime is 679730693. The reversal of 679730688 is 886037976.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (679730683) 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 23 ways as a sum of consecutive naturals, for example, 418518 + ... + 420138.

Almost surely, 2679730688 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 679730688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1207974768).

679730688 is an abundant number, since it is smaller than the sum of its proper divisors (1736218848).

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

679730688 is a wasteful number, since it uses less digits than its factorization.

679730688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1665 (or 1646 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 679730688 is about 26071.6452875533. The cubic root of 679730688 is about 879.2498290052.

The spelling of 679730688 in words is "six hundred seventy-nine million, seven hundred thirty thousand, six hundred eighty-eight".