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93324 = 223711101
BaseRepresentation
bin10110110010001100
311202000110
4112302030
510441244
62000020
7536040
oct266214
9152013
1093324
1164130
1246010
133362a
1426020
151c9b9
hex16c8c

93324 has 48 divisors (see below), whose sum is σ = 274176. Its totient is φ = 24000.

The previous prime is 93323. The next prime is 93329. The reversal of 93324 is 42339.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 93324.

It is not an unprimeable number, because it can be changed into a prime (93323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 874 + ... + 974.

It is an arithmetic number, because the mean of its divisors is an integer number (5712).

293324 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 93324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137088).

93324 is an abundant number, since it is smaller than the sum of its proper divisors (180852).

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

93324 is a wasteful number, since it uses less digits than its factorization.

93324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 124 counting only the distinct ones).

The product of its digits is 648, while the sum is 21.

The square root of 93324 is about 305.4897706962. The cubic root of 93324 is about 45.3591020355.

93324 divided by its sum of digits (21) gives a palindrome (4444).

It can be divided in two parts, 9 and 3324, that added together give a palindrome (3333).

The spelling of 93324 in words is "ninety-three thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 101 132 154 202 231 303 308 404 462 606 707 924 1111 1212 1414 2121 2222 2828 3333 4242 4444 6666 7777 8484 13332 15554 23331 31108 46662 93324