313434072 has 48 divisors (see below), whose sum is σ = 970154640. Its totient is φ = 89552448.

The previous prime is 313434071. The next prime is 313434073. The reversal of 313434072 is 270434313.

313434072 is a `hidden beast` number, since 313 + 4 + 340 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (313434071) and next prime (313434073).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313434071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 310443 + ... + 311450.

It is an arithmetic number, because the mean of its divisors is an integer number (20211555).

Almost surely, 2^313434072 is an apocalyptic number.

It is an amenable number.

313434072 is an abundant number, since it is smaller than the sum of its proper divisors (656720568).

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

313434072 is a wasteful number, since it uses less digits than its factorization.

313434072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621912 (or 621905 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 313434072 is about 17704.0693627200. The cubic root of 313434072 is about 679.2798546789.

Adding to 313434072 its reverse (270434313), we get a palindrome (583868385).

The spelling of 313434072 in words is "three hundred thirteen million, four hundred thirty-four thousand, seventy-two".