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324868320 = 2534573581
BaseRepresentation
bin10011010111010…
…001100011100000
3211122022000120000
4103113101203200
51131131241240
652123020000
711023222650
oct2327214340
9748260500
10324868320
1115741a417
129096a600
13523c709a
1431208360
151d7c2430
hex135d18e0

324868320 has 240 divisors, whose sum is σ = 1310668128. Its totient is φ = 74234880.

The previous prime is 324868319. The next prime is 324868339. The reversal of 324868320 is 23868423.

324868320 is a `hidden beast` number, since 324 + 8 + 6 + 8 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 88930 + ... + 92510.

Almost surely, 2324868320 is an apocalyptic number.

324868320 is a gapful number since it is divisible by the number (30) 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 324868320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655334064).

324868320 is an abundant number, since it is smaller than the sum of its proper divisors (985799808).

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

324868320 is a wasteful number, since it uses less digits than its factorization.

324868320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3615 (or 3598 counting only the distinct ones).

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

The square root of 324868320 is about 18024.1038612187. The cubic root of 324868320 is about 687.4415650609.

The spelling of 324868320 in words is "three hundred twenty-four million, eight hundred sixty-eight thousand, three hundred twenty".