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324253680 = 24356532069
BaseRepresentation
bin10011010100111…
…011011111110000
3211121010210102120
4103110323133300
51131002104210
652101514240
711015053002
oct2324733760
9747123376
10324253680
1115703a653
1290712980
13522403aa
14310c8372
151d700270
hex1353b7f0

324253680 has 80 divisors (see below), whose sum is σ = 1007212320. Its totient is φ = 86293504.

The previous prime is 324253661. The next prime is 324253687. The reversal of 324253680 is 86352423.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (324253687) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 155686 + ... + 157754.

It is an arithmetic number, because the mean of its divisors is an integer number (12590154).

Almost surely, 2324253680 is an apocalyptic number.

324253680 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 324253680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503606160).

324253680 is an abundant number, since it is smaller than the sum of its proper divisors (682958640).

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

324253680 is a wasteful number, since it uses less digits than its factorization.

324253680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2738 (or 2732 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 324253680 is about 18007.0452878866. The cubic root of 324253680 is about 687.0077525403.

The spelling of 324253680 in words is "three hundred twenty-four million, two hundred fifty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 653 1306 1959 2069 2612 3265 3918 4138 5224 6207 6530 7836 8276 9795 10345 10448 12414 13060 15672 16552 19590 20690 24828 26120 31035 31344 33104 39180 41380 49656 52240 62070 78360 82760 99312 124140 156720 165520 248280 496560 1351057 2702114 4053171 5404228 6755285 8106342 10808456 13510570 16212684 20265855 21616912 27021140 32425368 40531710 54042280 64850736 81063420 108084560 162126840 324253680