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9324 = 2232737
BaseRepresentation
bin10010001101100
3110210100
42101230
5244244
6111100
736120
oct22154
913710
109324
117007
125490
134323
143580
152b69
hex246c

9324 has 36 divisors (see below), whose sum is σ = 27664. Its totient is φ = 2592.

The previous prime is 9323. The next prime is 9337. The reversal of 9324 is 4239.

9324 is nontrivially palindromic in base 11.

9324 is an esthetic number in base 13, because in such base its adjacent digits differ by 1.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a d-powerful number, because it can be written as 92 + 213 + 33 + 45 .

It is one of the 548 Lynch-Bell numbers.

Its product of digits (216) is a multiple of the sum of its prime factors (54).

It is a plaindrome in base 16.

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 9297 and 9306.

It is not an unprimeable number, because it can be changed into a prime (9323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 234 + ... + 270.

29324 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 9324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13832).

9324 is an abundant number, since it is smaller than the sum of its proper divisors (18340).

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

9324 is a wasteful number, since it uses less digits than its factorization.

9324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 49 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 9324 is about 96.5608616366. The cubic root of 9324 is about 21.0475114742.

It can be divided in two parts, 9 and 324, that multiplied together give a square (2916 = 542).

The spelling of 9324 in words is "nine thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 37 42 63 74 84 111 126 148 222 252 259 333 444 518 666 777 1036 1332 1554 2331 3108 4662 9324