Search a number
-
+
534312 = 233241181
BaseRepresentation
bin10000010011100101000
31000010221100
42002130220
5114044222
615241400
74353522
oct2023450
91003840
10534312
11335489
12219260
1315927c
14dca12
15a84ac
hex82728

534312 has 48 divisors (see below), whose sum is σ = 1490580. Its totient is φ = 172800.

The previous prime is 534311. The next prime is 534323. The reversal of 534312 is 213435.

534312 is nontrivially palindromic in base 16.

It can be written as a sum of positive squares in 2 ways, for example, as 352836 + 181476 = 594^2 + 426^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 55 + 34 + 38 + 44 + 1 + 219 .

It is not an unprimeable number, because it can be changed into a prime (534311) 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 11 ways as a sum of consecutive naturals, for example, 2862 + ... + 3042.

2534312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 534312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745290).

534312 is an abundant number, since it is smaller than the sum of its proper divisors (956268).

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

534312 is a wasteful number, since it uses less digits than its factorization.

534312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 227 counting only the distinct ones).

The product of its digits is 360, while the sum is 18.

The square root of 534312 is about 730.9664834998. The cubic root of 534312 is about 81.1456000339.

Adding to 534312 its reverse (213435), we get a palindrome (747747).

The spelling of 534312 in words is "five hundred thirty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 181 246 328 362 369 492 543 724 738 984 1086 1448 1476 1629 2172 2952 3258 4344 6516 7421 13032 14842 22263 29684 44526 59368 66789 89052 133578 178104 267156 534312