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328294656 = 2832891601
BaseRepresentation
bin10011100100010…
…110000100000000
3211212202002121100
4103210112010000
51133020412111
652324254400
711064313164
oct2344260400
9755662540
10328294656
1115934a6a8
1291b41400
13530267c1
143185aca4
151dc4c756
hex13916100

328294656 has 108 divisors (see below), whose sum is σ = 957787740. Its totient is φ = 108134400.

The previous prime is 328294649. The next prime is 328294721. The reversal of 328294656 is 656492823.

It can be written as a sum of positive squares in 2 ways, for example, as 228614400 + 99680256 = 15120^2 + 9984^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 204256 + ... + 205856.

It is an arithmetic number, because the mean of its divisors is an integer number (8868405).

Almost surely, 2328294656 is an apocalyptic number.

328294656 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 328294656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478893870).

328294656 is an abundant number, since it is smaller than the sum of its proper divisors (629493084).

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

328294656 is a wasteful number, since it uses less digits than its factorization.

328294656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1712 (or 1695 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 328294656 is about 18118.9032780685. The cubic root of 328294656 is about 689.8498980362.

The spelling of 328294656 in words is "three hundred twenty-eight million, two hundred ninety-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 89 96 128 144 178 192 256 267 288 356 384 534 576 712 768 801 1068 1152 1424 1601 1602 2136 2304 2848 3202 3204 4272 4803 5696 6404 6408 8544 9606 11392 12808 12816 14409 17088 19212 22784 25616 25632 28818 34176 38424 51232 51264 57636 68352 76848 102464 102528 115272 142489 153696 204928 205056 230544 284978 307392 409856 427467 461088 569956 614784 854934 922176 1139912 1229568 1282401 1709868 1844352 2279824 2564802 3419736 3688704 4559648 5129604 6839472 9119296 10259208 13678944 18238592 20518416 27357888 36477184 41036832 54715776 82073664 109431552 164147328 328294656