313948224 has 112 divisors (see below), whose sum is σ = 934760640. Its totient is φ = 104602752.

The previous prime is 313948147. The next prime is 313948277. The reversal of 313948224 is 422849313.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138847 + ... + 141089.

Almost surely, 2^313948224 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 313948224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467380320).

313948224 is an abundant number, since it is smaller than the sum of its proper divisors (620812416).

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

313948224 is an frugal number, since it uses more digits than its factorization.

313948224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2276 (or 2248 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 313948224 is about 17718.5841420809. The cubic root of 313948224 is about 679.6510782005.

The spelling of 313948224 in words is "three hundred thirteen million, nine hundred forty-eight thousand, two hundred twenty-four".