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312434825 = 5283150571
BaseRepresentation
bin10010100111110…
…110000010001001
3210202220100000012
4102213312002021
51114440403300
651000321305
710512436463
oct2247660211
9722810005
10312434825
111503a79aa
1288773235
134c9629a1
142d6cd133
151c668435
hex129f6089

312434825 has 12 divisors (see below), whose sum is σ = 392089488. Its totient is φ = 246934800.

The previous prime is 312434797. The next prime is 312434827. The reversal of 312434825 is 528434213.

It is not a de Polignac number, because 312434825 - 26 = 312434761 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 312434791 and 312434800.

It is not an unprimeable number, because it can be changed into a prime (312434827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73211 + ... + 77360.

It is an arithmetic number, because the mean of its divisors is an integer number (32674124).

Almost surely, 2312434825 is an apocalyptic number.

It is an amenable number.

312434825 is a deficient number, since it is larger than the sum of its proper divisors (79654663).

312434825 is a wasteful number, since it uses less digits than its factorization.

312434825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150664 (or 150659 counting only the distinct ones).

The product of its digits is 23040, while the sum is 32.

The square root of 312434825 is about 17675.8260061588. The cubic root of 312434825 is about 678.5572242905.

The spelling of 312434825 in words is "three hundred twelve million, four hundred thirty-four thousand, eight hundred twenty-five".

Divisors: 1 5 25 83 415 2075 150571 752855 3764275 12497393 62486965 312434825