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326413728 = 25321133381
BaseRepresentation
bin10011011101001…
…010110110100000
3211202012112110100
4103131022312200
51132030214403
652220102400
711042320344
oct2335126640
9752175410
10326413728
11158285513
1291394a00
1352818624
14314cb624
151d9ca2a3
hex1374ada0

326413728 has 36 divisors (see below), whose sum is σ = 928239858. Its totient is φ = 108804480.

The previous prime is 326413709. The next prime is 326413729. The reversal of 326413728 is 827314623.

It is a happy number.

326413728 is a `hidden beast` number, since 3 + 2 + 641 + 3 + 7 + 2 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 320123664 + 6290064 = 17892^2 + 2508^2 .

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

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 = 326413692 and 326413701.

It is not an unprimeable number, because it can be changed into a prime (326413729) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 566403 + ... + 566978.

Almost surely, 2326413728 is an apocalyptic number.

It is an amenable number.

326413728 is an abundant number, since it is smaller than the sum of its proper divisors (601826130).

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

326413728 is a wasteful number, since it uses less digits than its factorization.

326413728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133397 (or 1133386 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 326413728 is about 18066.9235898091. The cubic root of 326413728 is about 688.5299009391.

The spelling of 326413728 in words is "three hundred twenty-six million, four hundred thirteen thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1133381 2266762 3400143 4533524 6800286 9067048 10200429 13600572 18134096 20400858 27201144 36268192 40801716 54402288 81603432 108804576 163206864 326413728