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328299216 = 24372971439
BaseRepresentation
bin10011100100010…
…111001011010000
3211212202022212020
4103210113023100
51133021033331
652324331440
711064332400
oct2344271320
9755668766
10328299216
11159353073
1291b43b80
13530288bb
143185c800
151dc4dc96
hex139172d0

328299216 has 120 divisors (see below), whose sum is σ = 997436160. Its totient is φ = 92768256.

The previous prime is 328299199. The next prime is 328299221. The reversal of 328299216 is 612992823.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 227425 + ... + 228863.

It is an arithmetic number, because the mean of its divisors is an integer number (8311968).

Almost surely, 2328299216 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 328299216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498718080).

328299216 is an abundant number, since it is smaller than the sum of its proper divisors (669136944).

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

328299216 is a wasteful number, since it uses less digits than its factorization.

328299216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1561 (or 1548 counting only the distinct ones).

The product of its digits is 93312, while the sum is 42.

The square root of 328299216 is about 18119.0291130623. The cubic root of 328299216 is about 689.8530920174.

The spelling of 328299216 in words is "three hundred twenty-eight million, two hundred ninety-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 97 98 112 147 168 194 196 291 294 336 388 392 582 588 679 776 784 1164 1176 1358 1439 1552 2037 2328 2352 2716 2878 4074 4317 4656 4753 5432 5756 8148 8634 9506 10073 10864 11512 14259 16296 17268 19012 20146 23024 28518 30219 32592 34536 38024 40292 57036 60438 69072 70511 76048 80584 114072 120876 139583 141022 161168 211533 228144 241752 279166 282044 418749 423066 483504 558332 564088 837498 846132 977081 1116664 1128176 1674996 1692264 1954162 2233328 2931243 3349992 3384528 3908324 5862486 6699984 6839567 7816648 11724972 13679134 15633296 20518701 23449944 27358268 41037402 46899888 54716536 82074804 109433072 164149608 328299216