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328990592 = 277438539
BaseRepresentation
bin10011100110111…
…111111110000000
3211221001110020202
4103212333332000
51133210144332
652351224332
711103242150
oct2346777600
9757043222
10328990592
11159785557
12922180a8
135320b4b8
143199c760
151dd38a62
hex139bff80

328990592 has 64 divisors (see below), whose sum is σ = 766550400. Its totient is φ = 137700864.

The previous prime is 328990483. The next prime is 328990619. The reversal of 328990592 is 295099823.

328990592 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34259 + ... + 42797.

It is an arithmetic number, because the mean of its divisors is an integer number (11977350).

Almost surely, 2328990592 is an apocalyptic number.

328990592 is a gapful number since it is divisible by the number (32) 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 328990592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383275200).

328990592 is an abundant number, since it is smaller than the sum of its proper divisors (437559808).

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

328990592 is an equidigital number, since it uses as much as digits as its factorization.

328990592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8603 (or 8591 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 47.

The square root of 328990592 is about 18138.0978054481. The cubic root of 328990592 is about 690.3370138308.

The spelling of 328990592 in words is "three hundred twenty-eight million, nine hundred ninety thousand, five hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 64 86 112 128 172 224 301 344 448 602 688 896 1204 1376 2408 2752 4816 5504 8539 9632 17078 19264 34156 38528 59773 68312 119546 136624 239092 273248 367177 478184 546496 734354 956368 1092992 1468708 1912736 2570239 2937416 3825472 5140478 5874832 7650944 10280956 11749664 20561912 23499328 41123824 46998656 82247648 164495296 328990592