313504224 has 144 divisors (see below), whose sum is σ = 915791184. Its totient is φ = 93829120.

The previous prime is 313504223. The next prime is 313504231. The reversal of 313504224 is 422405313.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 313504194 and 313504203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313504223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1591294 + ... + 1591490.

It is an arithmetic number, because the mean of its divisors is an integer number (6359661).

Almost surely, 2^313504224 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 313504224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457895592).

313504224 is an abundant number, since it is smaller than the sum of its proper divisors (602286960).

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

313504224 is a wasteful number, since it uses less digits than its factorization.

313504224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 313504224 is about 17706.0504912869. The cubic root of 313504224 is about 679.3305291161.

Adding to 313504224 its reverse (422405313), we get a palindrome (735909537).

The spelling of 313504224 in words is "three hundred thirteen million, five hundred four thousand, two hundred twenty-four".