14352 has 40 divisors (see below), whose sum is σ = 41664. Its totient is φ = 4224.

The previous prime is 14347. The next prime is 14369. The reversal of 14352 is 25341.

It is a nialpdrome in base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 613 + ... + 635.

14352 is a Friedman number, since it can be written as 23*(5^4-1), using all its digits and the basic arithmetic operations.

2^{14352} is an apocalyptic number.

14352 is a gapful number since it is divisible by the number (12) 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 14352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20832).

14352 is an abundant number, since it is smaller than the sum of its proper divisors (27312).

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

14352 is a wasteful number, since it uses less digits than its factorization.

14352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 41 counting only the distinct ones).

The product of its digits is 120, while the sum is 15.

The square root of 14352 is about 119.7998330550. The cubic root of 14352 is about 24.3017458821.

Adding to 14352 its reverse (25341), we get a palindrome (39693).

The spelling of 14352 in words is "fourteen thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 39 46 48 52 69 78 92 104 138 156 184 208 276 299 312 368 552 598 624 897 1104 1196 1794 2392 3588 4784 7176 14352

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