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324864 = 283347
BaseRepresentation
bin1001111010100000000
3121111122000
41033110000
540343424
610544000
72522061
oct1172400
9544560
10324864
11202091
12138000
13b4b37
1486568
15663c9
hex4f500

324864 has 72 divisors (see below), whose sum is σ = 981120. Its totient is φ = 105984.

The previous prime is 324847. The next prime is 324869. The reversal of 324864 is 468423.

324864 is nontrivially palindromic in base 14.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (4608) is a multiple of the sum of its prime factors (72).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 324864.

It is not an unprimeable number, because it can be changed into a prime (324869) by changing a digit.

324864 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6889 + ... + 6935.

2324864 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 324864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490560).

324864 is an abundant number, since it is smaller than the sum of its proper divisors (656256).

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

324864 is an equidigital number, since it uses as much as digits as its factorization.

324864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 52 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 324864 is about 569.9684201778. The cubic root of 324864 is about 68.7438517918.

It can be divided in two parts, 324 and 864, that multiplied together give a 7-th power (279936 = 67).

The spelling of 324864 in words is "three hundred twenty-four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 64 72 94 96 108 128 141 144 188 192 216 256 282 288 376 384 423 432 564 576 752 768 846 864 1128 1152 1269 1504 1692 1728 2256 2304 2538 3008 3384 3456 4512 5076 6016 6768 6912 9024 10152 12032 13536 18048 20304 27072 36096 40608 54144 81216 108288 162432 324864