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328865800 = 23522956701
BaseRepresentation
bin10011100110100…
…001100000001000
3211220211010001211
4103212201200020
51133142201200
652344422504
711102212264
oct2346414010
9756733054
10328865800
111596aa81a
1292177a34
1353196763
14319690a4
151dd11aba
hex139a1808

328865800 has 48 divisors (see below), whose sum is σ = 790992900. Its totient is φ = 127008000.

The previous prime is 328865791. The next prime is 328865807. The reversal of 328865800 is 8568823.

It can be written as a sum of positive squares in 6 ways, for example, as 145588356 + 183277444 = 12066^2 + 13538^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (328865807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22551 + ... + 34150.

Almost surely, 2328865800 is an apocalyptic number.

It is an amenable number.

328865800 is an abundant number, since it is smaller than the sum of its proper divisors (462127100).

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

328865800 is a wasteful number, since it uses less digits than its factorization.

328865800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56746 (or 56737 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The square root of 328865800 is about 18134.6574271476. The cubic root of 328865800 is about 690.2497170777.

The spelling of 328865800 in words is "three hundred twenty-eight million, eight hundred sixty-five thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 200 232 290 580 725 1160 1450 2900 5800 56701 113402 226804 283505 453608 567010 1134020 1417525 1644329 2268040 2835050 3288658 5670100 6577316 8221645 11340200 13154632 16443290 32886580 41108225 65773160 82216450 164432900 328865800