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3339 = 32753
BaseRepresentation
bin110100001011
311120200
4310023
5101324
623243
712510
oct6413
94520
103339
112566
121b23
13169b
141307
15ec9
hexd0b

3339 has 12 divisors (see below), whose sum is σ = 5616. Its totient is φ = 1872.

The previous prime is 3331. The next prime is 3343. The reversal of 3339 is 9333.

3339 is nontrivially palindromic in base 2.

3339 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3339 - 23 = 3331 is a prime.

It is a super-2 number, since 2×33392 = 22297842, which contains 22 as substring.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

3339 is a lucky number.

It is a plaindrome in base 10, base 11 and base 13.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3331) 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, 37 + ... + 89.

It is an arithmetic number, because the mean of its divisors is an integer number (468).

23339 is an apocalyptic number.

3339 is a deficient number, since it is larger than the sum of its proper divisors (2277).

3339 is a wasteful number, since it uses less digits than its factorization.

3339 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 63 counting only the distinct ones).

The product of its digits is 243, while the sum is 18.

The square root of 3339 is about 57.7840808528. The cubic root of 3339 is about 14.9464759053.

Subtracting from 3339 its sum of digits (18), we obtain a triangular number (3321 = T81).

The spelling of 3339 in words is "three thousand, three hundred thirty-nine".

Divisors: 1 3 7 9 21 53 63 159 371 477 1113 3339