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33309 = 323701
BaseRepresentation
bin1000001000011101
31200200200
420020131
52031214
6414113
7166053
oct101035
950620
1033309
1123031
1217339
1312213
14c1d3
159d09
hex821d

33309 has 6 divisors (see below), whose sum is σ = 48126. Its totient is φ = 22200.

The previous prime is 33301. The next prime is 33311. The reversal of 33309 is 90333.

It can be written as a sum of positive squares in only one way, i.e., 27225 + 6084 = 165^2 + 78^2 .

It is not a de Polignac number, because 33309 - 23 = 33301 is a prime.

It is a super-2 number, since 2×333092 = 2218978962, which contains 22 as substring.

33309 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 33291 and 33300.

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 33309.

It is not an unprimeable number, because it can be changed into a prime (33301) 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, 1842 + ... + 1859.

It is an arithmetic number, because the mean of its divisors is an integer number (8021).

233309 is an apocalyptic number.

It is an amenable number.

33309 is a deficient number, since it is larger than the sum of its proper divisors (14817).

33309 is a wasteful number, since it uses less digits than its factorization.

33309 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3707 (or 3704 counting only the distinct ones).

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

The square root of 33309 is about 182.5075340911. The cubic root of 33309 is about 32.1751463888.

The spelling of 33309 in words is "thirty-three thousand, three hundred nine".

Divisors: 1 3 9 3701 11103 33309