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31434 = 2313231
BaseRepresentation
bin111101011001010
31121010020
413223022
52001214
6401310
7160434
oct75312
947106
1031434
1121687
1216236
1311400
14b654
1594a9
hex7aca

31434 has 24 divisors (see below), whose sum is σ = 70272. Its totient is φ = 9360.

The previous prime is 31397. The next prime is 31469. The reversal of 31434 is 43413.

It is a Curzon number.

It is a nialpdrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 31434.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 999 + ... + 1029.

It is an arithmetic number, because the mean of its divisors is an integer number (2928).

231434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35136).

31434 is an abundant number, since it is smaller than the sum of its proper divisors (38838).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31434 is a wasteful number, since it uses less digits than its factorization.

31434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 49 counting only the distinct ones).

The product of its digits is 144, while the sum is 15.

The square root of 31434 is about 177.2963620608. The cubic root of 31434 is about 31.5597254366.

Adding to 31434 its reverse (43413), we get a palindrome (74847).

It can be divided in two parts, 31 and 434, that added together give a triangular number (465 = T30).

The spelling of 31434 in words is "thirty-one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 13 26 31 39 62 78 93 169 186 338 403 507 806 1014 1209 2418 5239 10478 15717 31434