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330233328 = 24333124659
BaseRepresentation
bin10011101011101…
…111010111110000
3212000101120222000
4103223233113300
51134014431303
652434014000
711116636245
oct2353572760
9760346860
10330233328
1115a454207
1292717300
1353555049
1431c035cc
151ded1da3
hex13aef5f0

330233328 has 80 divisors (see below), whose sum is σ = 978508800. Its totient is φ = 106522560.

The previous prime is 330233317. The next prime is 330233363. The reversal of 330233328 is 823332033.

330233328 is a `hidden beast` number, since 3 + 302 + 33 + 328 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1063 + ... + 25721.

It is an arithmetic number, because the mean of its divisors is an integer number (12231360).

Almost surely, 2330233328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330233328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489254400).

330233328 is an abundant number, since it is smaller than the sum of its proper divisors (648275472).

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

330233328 is a wasteful number, since it uses less digits than its factorization.

330233328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24707 (or 24695 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

The square root of 330233328 is about 18172.3231316197. The cubic root of 330233328 is about 691.2051528358.

The spelling of 330233328 in words is "three hundred thirty million, two hundred thirty-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 93 108 124 144 186 216 248 279 372 432 496 558 744 837 1116 1488 1674 2232 3348 4464 6696 13392 24659 49318 73977 98636 147954 197272 221931 295908 394544 443862 591816 665793 764429 887724 1183632 1331586 1528858 1775448 2293287 2663172 3057716 3550896 4586574 5326344 6115432 6879861 9173148 10652688 12230864 13759722 18346296 20639583 27519444 36692592 41279166 55038888 82558332 110077776 165116664 330233328