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328583940 = 223531117609
BaseRepresentation
bin10011100101011…
…100101100000100
3211220021210102120
4103211130230010
51133104141230
652334405540
711066626446
oct2345345404
9756253376
10328583940
11159527a83
12920608b0
13530c8389
14318d4496
151dca8310
hex1395cb04

328583940 has 48 divisors (see below), whose sum is σ = 923045760. Its totient is φ = 87335680.

The previous prime is 328583933. The next prime is 328583947. The reversal of 328583940 is 49385823.

It is an interprime number because it is at equal distance from previous prime (328583933) and next prime (328583947).

It is a junction number, because it is equal to n+sod(n) for n = 328583892 and 328583901.

It is not an unprimeable number, because it can be changed into a prime (328583947) 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 15 ways as a sum of consecutive naturals, for example, 9856 + ... + 27464.

It is an arithmetic number, because the mean of its divisors is an integer number (19230120).

Almost surely, 2328583940 is an apocalyptic number.

328583940 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

328583940 is an abundant number, since it is smaller than the sum of its proper divisors (594461820).

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

328583940 is a wasteful number, since it uses less digits than its factorization.

328583940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17932 (or 17930 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 328583940 is about 18126.8844537609. The cubic root of 328583940 is about 690.0524639797.

The spelling of 328583940 in words is "three hundred twenty-eight million, five hundred eighty-three thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 311 622 933 1244 1555 1866 3110 3732 4665 6220 9330 17609 18660 35218 52827 70436 88045 105654 176090 211308 264135 352180 528270 1056540 5476399 10952798 16429197 21905596 27381995 32858394 54763990 65716788 82145985 109527980 164291970 328583940