314343120 has 320 divisors, whose sum is σ = 1234920960. Its totient is φ = 64364544.

The previous prime is 314343119. The next prime is 314343137. The reversal of 314343120 is 21343413.

314343120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 807886 + ... + 808274.

It is an arithmetic number, because the mean of its divisors is an integer number (3859128).

Almost surely, 2^314343120 is an apocalyptic number.

314343120 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 314343120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617460480).

314343120 is an abundant number, since it is smaller than the sum of its proper divisors (920577840).

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

314343120 is a wasteful number, since it uses less digits than its factorization.

314343120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 314343120 is about 17729.7241941323. The cubic root of 314343120 is about 679.9359224511.

Adding to 314343120 its reverse (21343413), we get a palindrome (335686533).

The spelling of 314343120 in words is "three hundred fourteen million, three hundred forty-three thousand, one hundred twenty".