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328143888 = 24326137357
BaseRepresentation
bin10011100011110…
…001010000010000
3211212110102210100
4103203301100100
51133001101023
652321132400
711063114502
oct2343612020
9755412710
10328143888
111592573a6
1291a8a100
1352ca2ca7
143181bd72
151dc1cc43
hex138f1410

328143888 has 60 divisors (see below), whose sum is σ = 933426988. Its totient is φ = 107585280.

The previous prime is 328143883. The next prime is 328143917. The reversal of 328143888 is 888341823.

It can be written as a sum of positive squares in 2 ways, for example, as 36144144 + 291999744 = 6012^2 + 17088^2 .

It is a super-2 number, since 2×3281438882 = 215356822463513088, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (328143883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9895 + ... + 27462.

Almost surely, 2328143888 is an apocalyptic number.

It is an amenable number.

328143888 is an abundant number, since it is smaller than the sum of its proper divisors (605283100).

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

328143888 is a wasteful number, since it uses less digits than its factorization.

328143888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37432 (or 37423 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 328143888 is about 18114.7422835656. The cubic root of 328143888 is about 689.7442782692.

The spelling of 328143888 in words is "three hundred twenty-eight million, one hundred forty-three thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 61 72 122 144 183 244 366 488 549 732 976 1098 1464 2196 2928 4392 8784 37357 74714 112071 149428 224142 298856 336213 448284 597712 672426 896568 1344852 1793136 2278777 2689704 4557554 5379408 6836331 9115108 13672662 18230216 20508993 27345324 36460432 41017986 54690648 82035972 109381296 164071944 328143888