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328056948 = 223237246289
BaseRepresentation
bin10011100011011…
…100000001110100
3211212022000112100
4103203130001310
51132440310243
652315222100
711062303152
oct2343340164
9755260470
10328056948
111591a804a
1291a47930
1352c7254b
14317d83d2
151dc020d3
hex138dc074

328056948 has 36 divisors (see below), whose sum is σ = 851670820. Its totient is φ = 106396416.

The previous prime is 328056947. The next prime is 328057033. The reversal of 328056948 is 849650823.

328056948 is a `hidden beast` number, since 3 + 2 + 80 + 569 + 4 + 8 = 666.

328056948 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 300051684 + 28005264 = 17322^2 + 5292^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×3280569482 = 215242722262149408, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328056941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 121813 + ... + 124476.

Almost surely, 2328056948 is an apocalyptic number.

It is an amenable number.

328056948 is an abundant number, since it is smaller than the sum of its proper divisors (523613872).

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

328056948 is a wasteful number, since it uses less digits than its factorization.

328056948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246336 (or 246331 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 328056948 is about 18112.3424216748. The cubic root of 328056948 is about 689.6833581806.

The spelling of 328056948 in words is "three hundred twenty-eight million, fifty-six thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 246289 492578 738867 985156 1477734 2216601 2955468 4433202 8866404 9112693 18225386 27338079 36450772 54676158 82014237 109352316 164028474 328056948