313220304 has 80 divisors (see below), whose sum is σ = 901480000. Its totient is φ = 104125824.

The previous prime is 313220287. The next prime is 313220309. The reversal of 313220304 is 403022313.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313220309) 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, 214842 + ... + 216294.

It is an arithmetic number, because the mean of its divisors is an integer number (11268500).

Almost surely, 2^313220304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313220304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450740000).

313220304 is an abundant number, since it is smaller than the sum of its proper divisors (588259696).

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

313220304 is a wasteful number, since it uses less digits than its factorization.

313220304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1969 (or 1957 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 313220304 is about 17698.0310769306. The cubic root of 313220304 is about 679.1253922969.

Adding to 313220304 its reverse (403022313), we get a palindrome (716242617).

It can be divided in two parts, 3132 and 20304, that added together give a triangular number (23436 = T₂₁₆).

The spelling of 313220304 in words is "three hundred thirteen million, two hundred twenty thousand, three hundred four".