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679937328 = 2435724383
BaseRepresentation
bin101000100001110…
…000010100110000
31202101102101200000
4220201300110300
52343030443303
6151245230000
722564241400
oct5041602460
91671371600
10679937328
11319896a84
1216b862300
13aab365a5
1466434800
153ea5cda3
hex28870530

679937328 has 360 divisors, whose sum is σ = 2377222848. Its totient is φ = 187463808.

The previous prime is 679937309. The next prime is 679937329. The reversal of 679937328 is 823739976.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (679937329) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8191975 + ... + 8192057.

Almost surely, 2679937328 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 679937328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1188611424).

679937328 is an abundant number, since it is smaller than the sum of its proper divisors (1697285520).

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

679937328 is a wasteful number, since it uses less digits than its factorization.

679937328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 138 counting only the distinct ones).

The product of its digits is 3429216, while the sum is 54.

The square root of 679937328 is about 26075.6079123767. The cubic root of 679937328 is about 879.3389181007.

The spelling of 679937328 in words is "six hundred seventy-nine million, nine hundred thirty-seven thousand, three hundred twenty-eight".