313434240 has 128 divisors (see below), whose sum is σ = 1141845120. Its totient is φ = 71639040.

The previous prime is 313434229. The next prime is 313434259. The reversal of 313434240 is 42434313.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a self number, because there is not a number n which added to its sum of digits gives 313434240.

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, 1780 + ... + 25100.

It is an arithmetic number, because the mean of its divisors is an integer number (8920665).

Almost surely, 2^313434240 is an apocalyptic number.

313434240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570922560).

313434240 is an abundant number, since it is smaller than the sum of its proper divisors (828410880).

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

313434240 is a wasteful number, since it uses less digits than its factorization.

313434240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23350 (or 23338 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 313434240 is about 17704.0741073912. The cubic root of 313434240 is about 679.2799760430.

Adding to 313434240 its reverse (42434313), we get a palindrome (355868553).

The spelling of 313434240 in words is "three hundred thirteen million, four hundred thirty-four thousand, two hundred forty".