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328005018 = 233111929063
BaseRepresentation
bin10011100011001…
…111010110011010
3211212012101022000
4103203033112122
51132432130033
652314141430
711061665565
oct2343172632
9755171260
10328005018
11159172030
1291a21876
1352c54a13
14317c34dc
151dbe1a13
hex138cf59a

328005018 has 64 divisors (see below), whose sum is σ = 837043200. Its totient is φ = 94160880.

The previous prime is 328005011. The next prime is 328005053. The reversal of 328005018 is 810500823.

It is a happy number.

328005018 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 328004982 and 328005000.

It is not an unprimeable number, because it can be changed into a prime (328005011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3246 + ... + 25817.

It is an arithmetic number, because the mean of its divisors is an integer number (13078800).

Almost surely, 2328005018 is an apocalyptic number.

328005018 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

328005018 is an abundant number, since it is smaller than the sum of its proper divisors (509038182).

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

328005018 is a wasteful number, since it uses less digits than its factorization.

328005018 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29104 (or 29098 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 328005018 is about 18110.9088120944. The cubic root of 328005018 is about 689.6469649599.

The spelling of 328005018 in words is "three hundred twenty-eight million, five thousand, eighteen".

Divisors: 1 2 3 6 9 11 18 19 22 27 33 38 54 57 66 99 114 171 198 209 297 342 418 513 594 627 1026 1254 1881 3762 5643 11286 29063 58126 87189 174378 261567 319693 523134 552197 639386 784701 959079 1104394 1569402 1656591 1918158 2877237 3313182 4969773 5754474 6074167 8631711 9939546 12148334 14909319 17263422 18222501 29818638 36445002 54667503 109335006 164002509 328005018