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330333696 = 2932731119
BaseRepresentation
bin10011101100000…
…111111000000000
3212000120200122100
4103230013320000
51134031134241
652440110400
711120535000
oct2354077000
9760520570
10330333696
1115a512660
1292765400
135358b934
1431c2c000
151e0019b6
hex13b07e00

330333696 has 480 divisors, whose sum is σ = 1276704000. Its totient is φ = 81285120.

The previous prime is 330333673. The next prime is 330333701. The reversal of 330333696 is 696333033.

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

It is a self number, because there is not a number n which added to its sum of digits gives 330333696.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17385975 + ... + 17385993.

It is an arithmetic number, because the mean of its divisors is an integer number (2659800).

Almost surely, 2330333696 is an apocalyptic number.

330333696 is a gapful number since it is divisible by the number (36) 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 330333696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638352000).

330333696 is an abundant number, since it is smaller than the sum of its proper divisors (946370304).

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

330333696 is a wasteful number, since it uses less digits than its factorization.

330333696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 78732, while the sum is 36.

The square root of 330333696 is about 18175.0844839852. The cubic root of 330333696 is about 691.2751718655.

The spelling of 330333696 in words is "three hundred thirty million, three hundred thirty-three thousand, six hundred ninety-six".