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14328 = 2332199
BaseRepresentation
bin11011111111000
3201122200
43133320
5424303
6150200
756526
oct33770
921580
1014328
11a846
128360
1366a2
145316
1543a3
hex37f8

14328 has 24 divisors (see below), whose sum is σ = 39000. Its totient is φ = 4752.

The previous prime is 14327. The next prime is 14341. The reversal of 14328 is 82341.

Adding to 14328 its reverse (82341), we get a palindrome (96669).

It can be divided in two parts, 143 and 28, that multiplied together give a palindrome (4004).

It is a happy number.

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 (18).

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

It is one of the 548 Lynch-Bell numbers.

It is a self number, because there is not a number n which added to its sum of digits gives 14328.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 14328.

It is not an unprimeable number, because it can be changed into a prime (14321) 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, 28 + ... + 171.

It is an arithmetic number, because the mean of its divisors is an integer number (1625).

214328 is an apocalyptic number.

14328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14328 is an abundant number, since it is smaller than the sum of its proper divisors (24672).

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

14328 is a wasteful number, since it uses less digits than its factorization.

14328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 204 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 14328 is about 119.6996240596. The cubic root of 14328 is about 24.2881922006.

The spelling of 14328 in words is "fourteen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 199 398 597 796 1194 1592 1791 2388 3582 4776 7164 14328