313114248 has 112 divisors (see below), whose sum is σ = 897724620. Its totient is φ = 102301056.

The previous prime is 313114231. The next prime is 313114267. The reversal of 313114248 is 842411313.

It can be written as a sum of positive squares in 2 ways, for example, as 293025924 + 20088324 = 17118^2 + 4482^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

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 27 ways as a sum of consecutive naturals, for example, 308590 + ... + 309602.

Almost surely, 2^313114248 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 313114248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448862310).

313114248 is an abundant number, since it is smaller than the sum of its proper divisors (584610372).

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

313114248 is a wasteful number, since it uses less digits than its factorization.

313114248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1090 (or 1071 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 313114248 is about 17695.0345577509. The cubic root of 313114248 is about 679.0487333102.

The spelling of 313114248 in words is "three hundred thirteen million, one hundred fourteen thousand, two hundred forty-eight".