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680327424 = 2834743109
BaseRepresentation
bin101000100011001…
…111100100000000
31202102011012210000
4220203033210000
52343130434144
6151301440000
722600454610
oct5043174400
91672135700
10680327424
1131a033077
1216ba10000
13aac4200a
14664d6a40
153ead8769
hex288cf900

680327424 has 360 divisors, whose sum is σ = 2394096320. Its totient is φ = 188116992.

The previous prime is 680327411. The next prime is 680327477. The reversal of 680327424 is 424723086.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 6241482 + ... + 6241590.

Almost surely, 2680327424 is an apocalyptic number.

680327424 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 680327424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1197048160).

680327424 is an abundant number, since it is smaller than the sum of its proper divisors (1713768896).

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

680327424 is a wasteful number, since it uses less digits than its factorization.

680327424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 680327424 is about 26083.0869338735. The cubic root of 680327424 is about 879.5070517412.

The spelling of 680327424 in words is "six hundred eighty million, three hundred twenty-seven thousand, four hundred twenty-four".