313141248 has 192 divisors, whose sum is σ = 1061424000. Its totient is φ = 89358336.

The previous prime is 313141229. The next prime is 313141271. The reversal of 313141248 is 842141313.

It is a tau number, because it is divible by the number of its divisors (192).

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 and also a Zuckerman number because it is divisible by the product 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, 386668 + ... + 387476.

It is an arithmetic number, because the mean of its divisors is an integer number (5528250).

Almost surely, 2^313141248 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 313141248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530712000).

313141248 is an abundant number, since it is smaller than the sum of its proper divisors (748282752).

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

313141248 is an equidigital number, since it uses as much as digits as its factorization.

313141248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847 (or 821 counting only the distinct ones).

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

The square root of 313141248 is about 17695.7974671954. The cubic root of 313141248 is about 679.0682509878.

The spelling of 313141248 in words is "three hundred thirteen million, one hundred forty-one thousand, two hundred forty-eight".