314320344 has 128 divisors (see below), whose sum is σ = 943488000. Its totient is φ = 86206464.

The previous prime is 314320343. The next prime is 314320351. The reversal of 314320344 is 443023413.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314320343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99217 + ... + 102335.

It is an arithmetic number, because the mean of its divisors is an integer number (7371000).

Almost surely, 2^314320344 is an apocalyptic number.

314320344 is a gapful number since it is divisible by the number (34) 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 314320344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471744000).

314320344 is an abundant number, since it is smaller than the sum of its proper divisors (629167656).

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

314320344 is a wasteful number, since it uses less digits than its factorization.

314320344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3177 (or 3173 counting only the distinct ones).

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

The square root of 314320344 is about 17729.0818713209. The cubic root of 314320344 is about 679.9195002746.

Adding to 314320344 its reverse (443023413), we get a palindrome (757343757).

The spelling of 314320344 in words is "three hundred fourteen million, three hundred twenty thousand, three hundred forty-four".