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324184068 = 2232131494649
BaseRepresentation
bin10011010100101…
…010100000000100
3211121000020221100
4103110222200010
51130442342233
652100220100
711014343025
oct2324524004
9747006840
10324184068
11156aa231a
129069a630
13522177c0
14310aac4c
151d6d9813
hex1352a804

324184068 has 72 divisors (see below), whose sum is σ = 888615000. Its totient is φ = 99058176.

The previous prime is 324184031. The next prime is 324184097. The reversal of 324184068 is 860481423.

324184068 is a `hidden beast` number, since 3 + 241 + 8 + 406 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 28068804 + 296115264 = 5298^2 + 17208^2 .

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, 67408 + ... + 72056.

It is an arithmetic number, because the mean of its divisors is an integer number (12341875).

Almost surely, 2324184068 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 324184068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444307500).

324184068 is an abundant number, since it is smaller than the sum of its proper divisors (564430932).

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

324184068 is a wasteful number, since it uses less digits than its factorization.

324184068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4821 (or 4816 counting only the distinct ones).

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

The square root of 324184068 is about 18005.1122740182. The cubic root of 324184068 is about 686.9585858854.

The spelling of 324184068 in words is "three hundred twenty-four million, one hundred eighty-four thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 149 156 234 298 447 468 596 894 1341 1788 1937 2682 3874 4649 5364 5811 7748 9298 11622 13947 17433 18596 23244 27894 34866 41841 55788 60437 69732 83682 120874 167364 181311 241748 362622 543933 692701 725244 1087866 1385402 2078103 2175732 2770804 4156206 6234309 8312412 9005113 12468618 18010226 24937236 27015339 36020452 54030678 81046017 108061356 162092034 324184068