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34113 = 383137
BaseRepresentation
bin1000010101000001
31201210110
420111001
52042423
6421533
7201312
oct102501
951713
1034113
11236a2
12178a9
13126b1
14c609
15a193
hex8541

34113 has 8 divisors (see below), whose sum is σ = 46368. Its totient is φ = 22304.

The previous prime is 34061. The next prime is 34123. The reversal of 34113 is 31143.

Adding to 34113 its reverse (31143), we get a palindrome (65256).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 34113 - 28 = 33857 is a prime.

It is a Curzon number.

34113 is a lucky number.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (34123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 181 + ... + 317.

It is an arithmetic number, because the mean of its divisors is an integer number (5796).

234113 is an apocalyptic number.

It is an amenable number.

34113 is a deficient number, since it is larger than the sum of its proper divisors (12255).

34113 is a wasteful number, since it uses less digits than its factorization.

34113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223.

The product of its digits is 36, while the sum is 12.

The square root of 34113 is about 184.6970492455. The cubic root of 34113 is about 32.4319681428.

The spelling of 34113 in words is "thirty-four thousand, one hundred thirteen".

Divisors: 1 3 83 137 249 411 11371 34113