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332830680 = 2335713291051
BaseRepresentation
bin10011110101101…
…001011111011000
3212012021112212020
4103311221133120
51140201040210
653005414440
711151004560
oct2365513730
9765245766
10332830680
11160968686
129356a420
1353c54340
14322bbda0
151e346770
hex13d697d8

332830680 has 256 divisors, whose sum is σ = 1272499200. Its totient is φ = 67737600.

The previous prime is 332830649. The next prime is 332830691. The reversal of 332830680 is 86038233.

It is a super-2 number, since 2×3328306802 = 221552523098524800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 316155 + ... + 317205.

It is an arithmetic number, because the mean of its divisors is an integer number (4970700).

Almost surely, 2332830680 is an apocalyptic number.

332830680 is a gapful number since it is divisible by the number (30) 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 332830680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636249600).

332830680 is an abundant number, since it is smaller than the sum of its proper divisors (939668520).

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

332830680 is a wasteful number, since it uses less digits than its factorization.

332830680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 332830680 is about 18243.6476615835. The cubic root of 332830680 is about 693.0125786630.

The spelling of 332830680 in words is "three hundred thirty-two million, eight hundred thirty thousand, six hundred eighty".