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328655520 = 25325228233
BaseRepresentation
bin10011100101101…
…110001010100000
3211220102102121200
4103211232022200
51133113434040
652340121200
711100345234
oct2345561240
9756372550
10328655520
11159576836
1292096200
1353121b2b
14319125c4
151dcbe630
hex1396e2a0

328655520 has 72 divisors (see below), whose sum is σ = 1121541876. Its totient is φ = 87641088.

The previous prime is 328655489. The next prime is 328655531. The reversal of 328655520 is 25556823.

It is a happy number.

328655520 is a `hidden beast` number, since 3 + 2 + 86 + 55 + 520 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 273836304 + 54819216 = 16548^2 + 7404^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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, 112677 + ... + 115556.

Almost surely, 2328655520 is an apocalyptic number.

328655520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

328655520 is an abundant number, since it is smaller than the sum of its proper divisors (792886356).

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

328655520 is a wasteful number, since it uses less digits than its factorization.

328655520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228254 (or 228243 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 328655520 is about 18128.8587616540. The cubic root of 328655520 is about 690.1025682434.

The spelling of 328655520 in words is "three hundred twenty-eight million, six hundred fifty-five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 228233 456466 684699 912932 1141165 1369398 1825864 2054097 2282330 2738796 3423495 3651728 4108194 4564660 5477592 6846990 7303456 8216388 9129320 10270485 10955184 13693980 16432776 18258640 20540970 21910368 27387960 32865552 36517280 41081940 54775920 65731104 82163880 109551840 164327760 328655520