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14304 = 253149
BaseRepresentation
bin11011111100000
3201121210
43133200
5424204
6150120
756463
oct33740
921553
1014304
11a824
128340
136684
1452da
154389
hex37e0

14304 has 24 divisors (see below), whose sum is σ = 37800. Its totient is φ = 4736.

The previous prime is 14303. The next prime is 14321. The reversal of 14304 is 40341.

Adding to 14304 its reverse (40341), we get a palindrome (54645).

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 14304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14303) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22 + ... + 170.

It is an arithmetic number, because the mean of its divisors is an integer number (1575).

214304 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 14304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18900).

14304 is an abundant number, since it is smaller than the sum of its proper divisors (23496).

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

14304 is a wasteful number, since it uses less digits than its factorization.

14304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 14304 is about 119.5993311018. The cubic root of 14304 is about 24.2746233753.

The spelling of 14304 in words is "fourteen thousand, three hundred four", and thus it is an iban number.

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 149 298 447 596 894 1192 1788 2384 3576 4768 7152 14304