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328017690 = 2325711213331
BaseRepresentation
bin10011100011010…
…010011100011010
3211212020000200100
4103203102130122
51132433031230
652314320230
711062050540
oct2343223432
9755200610
10328017690
11159180600
1291a29076
1352c5a710
14317c7d90
151dbe5660
hex138d271a

328017690 has 288 divisors, whose sum is σ = 1157240448. Its totient is φ = 62726400.

The previous prime is 328017673. The next prime is 328017707. The reversal of 328017690 is 96710823.

328017690 is nontrivially palindromic in base 8.

It is an interprime number because it is at equal distance from previous prime (328017673) and next prime (328017707).

It is a super-2 number, since 2×3280176902 = 215191209905872200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 990825 + ... + 991155.

It is an arithmetic number, because the mean of its divisors is an integer number (4018196).

Almost surely, 2328017690 is an apocalyptic number.

328017690 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 328017690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578620224).

328017690 is an abundant number, since it is smaller than the sum of its proper divisors (829222758).

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

328017690 is a wasteful number, since it uses less digits than its factorization.

328017690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 328017690 is about 18111.2586531141. The cubic root of 328017690 is about 689.6558460169.

The spelling of 328017690 in words is "three hundred twenty-eight million, seventeen thousand, six hundred ninety".