313429248 has 216 divisors, whose sum is σ = 1004421600. Its totient is φ = 93204480.

The previous prime is 313429243. The next prime is 313429273. The reversal of 313429248 is 842924313.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313429241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2103478 + ... + 2103626.

It is an arithmetic number, because the mean of its divisors is an integer number (4650100).

Almost surely, 2^313429248 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 313429248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502210800).

313429248 is an abundant number, since it is smaller than the sum of its proper divisors (690992352).

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

313429248 is a wasteful number, since it uses less digits than its factorization.

313429248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 248 counting only the distinct ones).

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

The square root of 313429248 is about 17703.9331223319. The cubic root of 313429248 is about 679.2763697750.

The spelling of 313429248 in words is "three hundred thirteen million, four hundred twenty-nine thousand, two hundred forty-eight".