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13344 = 253139
BaseRepresentation
bin11010000100000
3200022020
43100200
5411334
6141440
753622
oct32040
920266
1013344
11a031
127880
1360c6
144c12
153e49
hex3420

13344 has 24 divisors (see below), whose sum is σ = 35280. Its totient is φ = 4416.

The previous prime is 13339. The next prime is 13367. The reversal of 13344 is 44331.

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

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

Its product of digits (144) is a multiple of the sum of its prime divisors (144).

It is a plaindrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27 + ... + 165.

It is an arithmetic number, because the mean of its divisors is an integer number (1470).

213344 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 13344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17640).

13344 is an abundant number, since it is smaller than the sum of its proper divisors (21936).

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

13344 is a wasteful number, since it uses less digits than its factorization.

13344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 144 counting only the distinct ones).

The product of its digits is 144, while the sum is 15.

The square root of 13344 is about 115.5162326255. The cubic root of 13344 is about 23.7189437103.

Adding to 13344 its reverse (44331), we get a palindrome (57675).

The spelling of 13344 in words is "thirteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 139 278 417 556 834 1112 1668 2224 3336 4448 6672 13344