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328966056 = 23332322879
BaseRepresentation
bin10011100110111…
…001111110101000
3211221000012121000
4103212321332220
51133203403211
652350515000
711103110466
oct2346717650
9757005530
10328966056
11159769081
1292205a60
1353200293
1431993836
151dd31656
hex139b9fa8

328966056 has 96 divisors (see below), whose sum is σ = 955584000. Its totient is φ = 104851296.

The previous prime is 328966051. The next prime is 328966069. The reversal of 328966056 is 650669823.

It is a happy number.

328966056 is a `hidden beast` number, since 32 + 8 + 9 + 6 + 605 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (328966051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112825 + ... + 115703.

It is an arithmetic number, because the mean of its divisors is an integer number (9954000).

Almost surely, 2328966056 is an apocalyptic number.

328966056 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 328966056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477792000).

328966056 is an abundant number, since it is smaller than the sum of its proper divisors (626617944).

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

328966056 is a wasteful number, since it uses less digits than its factorization.

328966056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2940 (or 2907 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 328966056 is about 18137.4214264321. The cubic root of 328966056 is about 690.3198517088.

The spelling of 328966056 in words is "three hundred twenty-eight million, nine hundred sixty-six thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 184 207 216 276 414 529 552 621 828 1058 1242 1587 1656 2116 2484 2879 3174 4232 4761 4968 5758 6348 8637 9522 11516 12696 14283 17274 19044 23032 25911 28566 34548 38088 51822 57132 66217 69096 77733 103644 114264 132434 155466 198651 207288 264868 310932 397302 529736 595953 621864 794604 1191906 1522991 1589208 1787859 2383812 3045982 3575718 4568973 4767624 6091964 7151436 9137946 12183928 13706919 14302872 18275892 27413838 36551784 41120757 54827676 82241514 109655352 164483028 328966056