314245320 has 128 divisors (see below), whose sum is σ = 1008080640. Its totient is φ = 78172160.

The previous prime is 314245307. The next prime is 314245339. The reversal of 314245320 is 23542413.

It is a super-2 number, since 2×314245320² = 197500242283804800, which contains 22 as substring.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 111772 + ... + 114548.

It is an arithmetic number, because the mean of its divisors is an integer number (7875630).

Almost surely, 2^314245320 is an apocalyptic number.

314245320 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 314245320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504040320).

314245320 is an abundant number, since it is smaller than the sum of its proper divisors (693835320).

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

314245320 is a wasteful number, since it uses less digits than its factorization.

314245320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2855 (or 2851 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 314245320 is about 17726.9658994426. The cubic root of 314245320 is about 679.8654001179.

Adding to 314245320 its reverse (23542413), we get a palindrome (337787733).

The spelling of 314245320 in words is "three hundred fourteen million, two hundred forty-five thousand, three hundred twenty".