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328380264 = 23332396361
BaseRepresentation
bin10011100100101…
…010111101101000
3211212220110001000
4103210222331220
51133031132024
652330155000
711065120602
oct2344527550
9755813030
10328380264
111593a8a53
1291b82a60
1353056764
1431880172
151dc67cc9
hex1392af68

328380264 has 64 divisors (see below), whose sum is σ = 916128000. Its totient is φ = 108984960.

The previous prime is 328380251. The next prime is 328380277. The reversal of 328380264 is 462083823.

It is an interprime number because it is at equal distance from previous prime (328380251) and next prime (328380277).

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 15 ways as a sum of consecutive naturals, for example, 48444 + ... + 54804.

It is an arithmetic number, because the mean of its divisors is an integer number (14314500).

Almost surely, 2328380264 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 328380264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458064000).

328380264 is an abundant number, since it is smaller than the sum of its proper divisors (587747736).

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

328380264 is a wasteful number, since it uses less digits than its factorization.

328380264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6615 (or 6605 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 328380264 is about 18121.2655187214. The cubic root of 328380264 is about 689.9098558986.

The spelling of 328380264 in words is "three hundred twenty-eight million, three hundred eighty thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 239 478 717 956 1434 1912 2151 2868 4302 5736 6361 6453 8604 12722 12906 17208 19083 25444 25812 38166 50888 51624 57249 76332 114498 152664 171747 228996 343494 457992 686988 1373976 1520279 3040558 4560837 6081116 9121674 12162232 13682511 18243348 27365022 36486696 41047533 54730044 82095066 109460088 164190132 328380264