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14337 = 3559
BaseRepresentation
bin11100000000001
3201200000
43200001
5424322
6150213
756541
oct34001
921600
1014337
11a854
128369
1366ab
145321
1543ac
hex3801

14337 has 12 divisors (see below), whose sum is σ = 21840. Its totient is φ = 9396.

The previous prime is 14327. The next prime is 14341. The reversal of 14337 is 73341.

Adding to 14337 its reverse (73341), we get a palindrome (87678).

It can be divided in two parts, 14 and 337, that added together give a triangular number (351 = T26).

It is not a de Polignac number, because 14337 - 24 = 14321 is a prime.

It is a plaindrome in base 13.

It is a nialpdrome in base 11 and base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 14337.

It is not an unprimeable number, because it can be changed into a prime (14327) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 214 + ... + 272.

It is an arithmetic number, because the mean of its divisors is an integer number (1820).

It is a Proth number, since it is equal to 7 ⋅ 211 + 1 and 7 < 211.

214337 is an apocalyptic number.

It is an amenable number.

14337 is a deficient number, since it is larger than the sum of its proper divisors (7503).

14337 is an frugal number, since it uses more digits than its factorization.

14337 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 62 counting only the distinct ones).

The product of its digits is 252, while the sum is 18.

The square root of 14337 is about 119.7372122609. The cubic root of 14337 is about 24.2932766036.

The spelling of 14337 in words is "fourteen thousand, three hundred thirty-seven".

Divisors: 1 3 9 27 59 81 177 243 531 1593 4779 14337