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312226434 = 23313444767
BaseRepresentation
bin10010100111000…
…011001010000010
3210202111202011000
4102213003022002
51114412221214
650552032430
710510611102
oct2247031202
9722452130
10312226434
11150275383
1288692716
134c8bbb90
142d677202
151c626809
hex129c3282

312226434 has 32 divisors (see below), whose sum is σ = 747210240. Its totient is φ = 96069456.

The previous prime is 312226433. The next prime is 312226457. The reversal of 312226434 is 434622213.

312226434 is a `hidden beast` number, since 3 + 1 + 2 + 226 + 434 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 312226398 and 312226407.

It is not an unprimeable number, because it can be changed into a prime (312226433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 221682 + ... + 223085.

It is an arithmetic number, because the mean of its divisors is an integer number (23350320).

Almost surely, 2312226434 is an apocalyptic number.

312226434 is an abundant number, since it is smaller than the sum of its proper divisors (434983806).

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

312226434 is a wasteful number, since it uses less digits than its factorization.

312226434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444791 (or 444785 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 312226434 is about 17669.9302205753. The cubic root of 312226434 is about 678.4063270393.

Adding to 312226434 its reverse (434622213), we get a palindrome (746848647).

The spelling of 312226434 in words is "three hundred twelve million, two hundred twenty-six thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 702 444767 889534 1334301 2668602 4002903 5781971 8005806 11563942 12008709 17345913 24017418 34691826 52037739 104075478 156113217 312226434