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328232880 = 243254111119
BaseRepresentation
bin10011100100000…
…110111110110000
3211212121221212100
4103210012332300
51133011423010
652323100400
711063635113
oct2344067660
9755557770
10328232880
11159308248
1291b11700
1353004651
143184257a
151dc392c0
hex13906fb0

328232880 has 120 divisors (see below), whose sum is σ = 1129302720. Its totient is φ = 85386240.

The previous prime is 328232873. The next prime is 328232903. The reversal of 328232880 is 88232823.

328232880 is a `hidden beast` number, since 328 + 2 + 328 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23961 + ... + 35079.

It is an arithmetic number, because the mean of its divisors is an integer number (9410856).

Almost surely, 2328232880 is an apocalyptic number.

328232880 is a gapful number since it is divisible by the number (30) 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 328232880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564651360).

328232880 is an abundant number, since it is smaller than the sum of its proper divisors (801069840).

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

328232880 is a wasteful number, since it uses less digits than its factorization.

328232880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11179 (or 11170 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 328232880 is about 18117.1984589229. The cubic root of 328232880 is about 689.8066250801.

The spelling of 328232880 in words is "three hundred twenty-eight million, two hundred thirty-two thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 41 45 48 60 72 80 82 90 120 123 144 164 180 205 240 246 328 360 369 410 492 615 656 720 738 820 984 1230 1476 1640 1845 1968 2460 2952 3280 3690 4920 5904 7380 9840 11119 14760 22238 29520 33357 44476 55595 66714 88952 100071 111190 133428 166785 177904 200142 222380 266856 333570 400284 444760 455879 500355 533712 667140 800568 889520 911758 1000710 1334280 1367637 1601136 1823516 2001420 2279395 2668560 2735274 3647032 4002840 4102911 4558790 5470548 6838185 7294064 8005680 8205822 9117580 10941096 13676370 16411644 18235160 20514555 21882192 27352740 32823288 36470320 41029110 54705480 65646576 82058220 109410960 164116440 328232880