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328074840 = 2333517107167
BaseRepresentation
bin10011100011100…
…000011001011000
3211212022221002000
4103203200121120
51132441343330
652315441000
711062406262
oct2343403130
9755287060
10328074840
1115920a535
1291a56160
1352c7a732
1431800b32
151dc07560
hex138e0658

328074840 has 256 divisors, whose sum is σ = 1175731200. Its totient is φ = 81082368.

The previous prime is 328074839. The next prime is 328074863. The reversal of 328074840 is 48470823.

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

It is a junction number, because it is equal to n+sod(n) for n = 328074795 and 328074804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1964437 + ... + 1964603.

It is an arithmetic number, because the mean of its divisors is an integer number (4592700).

Almost surely, 2328074840 is an apocalyptic number.

328074840 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 328074840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587865600).

328074840 is an abundant number, since it is smaller than the sum of its proper divisors (847656360).

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

328074840 is a wasteful number, since it uses less digits than its factorization.

328074840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 328074840 is about 18112.8363322810. The cubic root of 328074840 is about 689.6958962378.

The spelling of 328074840 in words is "three hundred twenty-eight million, seventy-four thousand, eight hundred forty".