313303424 has 96 divisors (see below), whose sum is σ = 746815440. Its totient is φ = 128240640.

The previous prime is 313303423. The next prime is 313303429. The reversal of 313303424 is 424303313.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a self number, because there is not a number n which added to its sum of digits gives 313303424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313303423) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 473654 + ... + 474314.

Almost surely, 2^313303424 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 313303424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373407720).

313303424 is an abundant number, since it is smaller than the sum of its proper divisors (433512016).

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

313303424 is an equidigital number, since it uses as much as digits as its factorization.

313303424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

The square root of 313303424 is about 17700.3792049775. The cubic root of 313303424 is about 679.1854606782.

Adding to 313303424 its reverse (424303313), we get a palindrome (737606737).

The spelling of 313303424 in words is "three hundred thirteen million, three hundred three thousand, four hundred twenty-four".