Search a number
-
+
34131 = 331367
BaseRepresentation
bin1000010101010011
31201211010
420111103
52043011
6422003
7201336
oct102523
951733
1034131
1123709
1217903
13126c6
14c61d
15a1a6
hex8553

34131 has 8 divisors (see below), whose sum is σ = 47104. Its totient is φ = 21960.

The previous prime is 34129. The next prime is 34141. The reversal of 34131 is 13143.

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

It is not a de Polignac number, because 34131 - 21 = 34129 is a prime.

It is a super-2 number, since 2×341312 = 2329850322, which contains 22 as substring.

It is a Duffinian number.

34131 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 (34141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 91 + ... + 276.

It is an arithmetic number, because the mean of its divisors is an integer number (5888).

234131 is an apocalyptic number.

34131 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

34131 is a deficient number, since it is larger than the sum of its proper divisors (12973).

34131 is a wasteful number, since it uses less digits than its factorization.

34131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401.

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

The square root of 34131 is about 184.7457712642. The cubic root of 34131 is about 32.4376714697.

Adding to 34131 its sum of digits (12), we get a palindrome (34143).

Adding to 34131 its reverse (13143), we get a palindrome (47274).

The spelling of 34131 in words is "thirty-four thousand, one hundred thirty-one".

Divisors: 1 3 31 93 367 1101 11377 34131