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324768 = 25317199
BaseRepresentation
bin1001111010010100000
3121111111110
41033102200
540343033
610543320
72521563
oct1172240
9544443
10324768
11202004
12137b40
13b4a92
14864da
1566363
hex4f4a0

324768 has 48 divisors (see below), whose sum is σ = 907200. Its totient is φ = 101376.

The previous prime is 324763. The next prime is 324773. The reversal of 324768 is 867423.

It is an interprime number because it is at equal distance from previous prime (324763) and next prime (324773).

It is a tau number, because it is divible by the number of its divisors (48).

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (324763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1533 + ... + 1731.

It is an arithmetic number, because the mean of its divisors is an integer number (18900).

2324768 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 324768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453600).

324768 is an abundant number, since it is smaller than the sum of its proper divisors (582432).

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

324768 is a wasteful number, since it uses less digits than its factorization.

324768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 221 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 324768 is about 569.8841987632. The cubic root of 324768 is about 68.7370796657.

It can be divided in two parts, 324 and 768, that multiplied together give a 5-th power (248832 = 125).

The spelling of 324768 in words is "three hundred twenty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 199 204 272 398 408 544 597 796 816 1194 1592 1632 2388 3184 3383 4776 6368 6766 9552 10149 13532 19104 20298 27064 40596 54128 81192 108256 162384 324768