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312434213 = 71331110753
BaseRepresentation
bin10010100111110…
…101111000100101
3210202220022011112
4102213311320211
51114440343323
651000314405
710512434630
oct2247657045
9722808145
10312434213
111503a74a3
1288772a05
134c962620
142d6ccc17
151c668178
hex129f5e25

312434213 has 16 divisors (see below), whose sum is σ = 396942336. Its totient is φ = 239224320.

The previous prime is 312434201. The next prime is 312434237.

312434213 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 312434213 - 210 = 312433189 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312434273) 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, 52556 + ... + 58197.

It is an arithmetic number, because the mean of its divisors is an integer number (24808896).

Almost surely, 2312434213 is an apocalyptic number.

It is an amenable number.

312434213 is a deficient number, since it is larger than the sum of its proper divisors (84508123).

312434213 is a wasteful number, since it uses less digits than its factorization.

312434213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110804.

The product of its digits is 1728, while the sum is 23.

The square root of 312434213 is about 17675.8086943710. The cubic root of 312434213 is about 678.5567812356.

The spelling of 312434213 in words is "three hundred twelve million, four hundred thirty-four thousand, two hundred thirteen".

Divisors: 1 7 13 31 91 217 403 2821 110753 775271 1439789 3433343 10078523 24033401 44633459 312434213