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14388 = 22311109
BaseRepresentation
bin11100000110100
3201201220
43200310
5430023
6150340
756643
oct34064
921656
1014388
11a8a0
1283b0
13671a
14535a
1543e3
hex3834

14388 has 24 divisors (see below), whose sum is σ = 36960. Its totient is φ = 4320.

The previous prime is 14387. The next prime is 14389. The reversal of 14388 is 88341.

It can be divided in two parts, 143 and 88, that added together give a triangular number (231 = T21).

It is an interprime number because it is at equal distance from previous prime (14387) and next prime (14389).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14387) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78 + ... + 186.

It is an arithmetic number, because the mean of its divisors is an integer number (1540).

214388 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 14388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18480).

14388 is an abundant number, since it is smaller than the sum of its proper divisors (22572).

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

14388 is a wasteful number, since it uses less digits than its factorization.

14388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 125 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 14388 is about 119.9499895790. The cubic root of 14388 is about 24.3220481020.

The spelling of 14388 in words is "fourteen thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 109 132 218 327 436 654 1199 1308 2398 3597 4796 7194 14388