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324208104 = 233112235507
BaseRepresentation
bin10011010100110…
…000010111101000
3211121001110220120
4103110300113220
51130444124404
652100523240
711014503063
oct2324602750
9747043816
10324208104
11157009390
12906b0520
135222571c
14310b58da
151d6e19d9
hex135305e8

324208104 has 64 divisors (see below), whose sum is σ = 888330240. Its totient is φ = 97786560.

The previous prime is 324208103. The next prime is 324208117. The reversal of 324208104 is 401802423.

It is a super-2 number, since 2×3242081042 = 210221789398549632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (324208103) 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, 56119 + ... + 61625.

It is an arithmetic number, because the mean of its divisors is an integer number (13880160).

Almost surely, 2324208104 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 324208104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444165120).

324208104 is an abundant number, since it is smaller than the sum of its proper divisors (564122136).

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

324208104 is a wasteful number, since it uses less digits than its factorization.

324208104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5750 (or 5746 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 324208104 is about 18005.7797387394. The cubic root of 324208104 is about 686.9755632039.

The spelling of 324208104 in words is "three hundred twenty-four million, two hundred eight thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 223 264 446 669 892 1338 1784 2453 2676 4906 5352 5507 7359 9812 11014 14718 16521 19624 22028 29436 33042 44056 58872 60577 66084 121154 132168 181731 242308 363462 484616 726924 1228061 1453848 2456122 3684183 4912244 7368366 9824488 13508671 14736732 27017342 29473464 40526013 54034684 81052026 108069368 162104052 324208104