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43134 = 2371379
BaseRepresentation
bin1010100001111110
32012011120
422201332
52340014
6531410
7236520
oct124176
965146
1043134
112a453
1220b66
1316830
1411a10
15cba9
hexa87e

43134 has 32 divisors (see below), whose sum is σ = 107520. Its totient is φ = 11232.

The previous prime is 43133. The next prime is 43151.

43134 is nontrivially palindromic in base 10.

43134 is an esthetic number in base 15, because in such base its adjacent digits differ by 1.

It is a Curzon number.

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 (43133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 507 + ... + 585.

It is an arithmetic number, because the mean of its divisors is an integer number (3360).

243134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53760).

43134 is an abundant number, since it is smaller than the sum of its proper divisors (64386).

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

43134 is a wasteful number, since it uses less digits than its factorization.

43134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104.

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

The square root of 43134 is about 207.6872648960. The cubic root of 43134 is about 35.0703347536.

It can be divided in two parts, 431 and 34, that added together give a triangular number (465 = T30).

The spelling of 43134 in words is "forty-three thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 79 91 158 182 237 273 474 546 553 1027 1106 1659 2054 3081 3318 6162 7189 14378 21567 43134