313461306 has 32 divisors (see below), whose sum is σ = 698522880. Its totient is φ = 104195808.

The previous prime is 313461301. The next prime is 313461311. The reversal of 313461306 is 603164313.

313461306 is a `hidden beast` number, since 313 + 46 + 1 + 306 = 666.

It is an interprime number because it is at equal distance from previous prime (313461301) and next prime (313461311).

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

It is a self number, because there is not a number n which added to its sum of digits gives 313461306.

It is not an unprimeable number, because it can be changed into a prime (313461301) 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, 11910 + ... + 27726.

It is an arithmetic number, because the mean of its divisors is an integer number (21828840).

Almost surely, 2^313461306 is an apocalyptic number.

313461306 is an abundant number, since it is smaller than the sum of its proper divisors (385061574).

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

313461306 is a wasteful number, since it uses less digits than its factorization.

313461306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16195 (or 16189 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 313461306 is about 17704.8384912148. The cubic root of 313461306 is about 679.2995281110.

The spelling of 313461306 in words is "three hundred thirteen million, four hundred sixty-one thousand, three hundred six".