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25344 = 283211

25344 has 54 divisors (see below), whose sum is σ = 79716. Its totient is φ = 7680.

The previous prime is 25343. The next prime is 25349. The reversal of 25344 is 44352.

Adding to 25344 its reverse (44352), we get a palindrome (69696).

It is a happy number.

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

Its product of digits (480) is a multiple of the sum of its prime divisors (16).

It is a plaindrome in base 15.

It is a nialpdrome in base 16.

It is a zygodrome in base 2 and base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 25344.

It is not an unprimeable number, because it can be changed into a prime (25343) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2299 + ... + 2309.

225344 is an apocalyptic number.

25344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39858).

25344 is an abundant number, since it is smaller than the sum of its proper divisors (54372).

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

25344 is a wasteful number, since it uses less digits than its factorization.

25344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33 (or 16 counting only the distinct ones).

The product of its digits is 480, while the sum is 18.

The square root of 25344 is about 159.1979899371. The cubic root of 25344 is about 29.3736818482.

The spelling of 25344 in words is "twenty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 528 576 704 768 792 1056 1152 1408 1584 2112 2304 2816 3168 4224 6336 8448 12672 25344