313420224 has 112 divisors (see below), whose sum is σ = 898956800. Its totient is φ = 95800320.

The previous prime is 313420223. The next prime is 313420231. The reversal of 313420224 is 422024313.

It is a self number, because there is not a number n which added to its sum of digits gives 313420224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313420223) 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 15 ways as a sum of consecutive naturals, for example, 496389 + ... + 497019.

It is an arithmetic number, because the mean of its divisors is an integer number (8026400).

Almost surely, 2^313420224 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 313420224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449478400).

313420224 is an abundant number, since it is smaller than the sum of its proper divisors (585536576).

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

313420224 is a wasteful number, since it uses less digits than its factorization.

313420224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 313420224 is about 17703.6782618754. The cubic root of 313420224 is about 679.2698506548.

Adding to 313420224 its reverse (422024313), we get a palindrome (735444537).

The spelling of 313420224 in words is "three hundred thirteen million, four hundred twenty thousand, two hundred twenty-four".