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326160864 = 25332271663
BaseRepresentation
bin10011011100001…
…101000111100000
3211201201200121000
4103130031013200
51131444121424
652210432000
711040215211
oct2334150740
9751650530
10326160864
11158122537
1291292600
135275a4c3
1431463408
151d97a3c9
hex1370d1e0

326160864 has 96 divisors (see below), whose sum is σ = 956067840. Its totient is φ = 108176256.

The previous prime is 326160841. The next prime is 326160869. The reversal of 326160864 is 468061623.

326160864 is a `hidden beast` number, since 32 + 616 + 0 + 8 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (326160869) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 195297 + ... + 196959.

It is an arithmetic number, because the mean of its divisors is an integer number (9959040).

Almost surely, 2326160864 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 326160864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478033920).

326160864 is an abundant number, since it is smaller than the sum of its proper divisors (629906976).

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

326160864 is a wasteful number, since it uses less digits than its factorization.

326160864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1909 (or 1895 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 326160864 is about 18059.9242523328. The cubic root of 326160864 is about 688.3520597646.

The spelling of 326160864 in words is "three hundred twenty-six million, one hundred sixty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 227 288 432 454 681 864 908 1362 1663 1816 2043 2724 3326 3632 4086 4989 5448 6129 6652 7264 8172 9978 10896 12258 13304 14967 16344 19956 21792 24516 26608 29934 32688 39912 44901 49032 53216 59868 65376 79824 89802 98064 119736 159648 179604 196128 239472 359208 377501 478944 718416 755002 1132503 1436832 1510004 2265006 3020008 3397509 4530012 6040016 6795018 9060024 10192527 12080032 13590036 18120048 20385054 27180072 36240096 40770108 54360144 81540216 108720288 163080432 326160864