314041320 has 128 divisors (see below), whose sum is σ = 1057536000. Its totient is φ = 82886400.

The previous prime is 314041309. The next prime is 314041331. The reversal of 314041320 is 23140413.

It is an interprime number because it is at equal distance from previous prime (314041309) and next prime (314041331).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 314041293 and 314041302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107641 + ... + 110519.

It is an arithmetic number, because the mean of its divisors is an integer number (8262000).

Almost surely, 2^314041320 is an apocalyptic number.

314041320 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 314041320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528768000).

314041320 is an abundant number, since it is smaller than the sum of its proper divisors (743494680).

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

314041320 is a wasteful number, since it uses less digits than its factorization.

314041320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3000 (or 2990 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 314041320 is about 17721.2110195664. The cubic root of 314041320 is about 679.7182512127.

Adding to 314041320 its reverse (23140413), we get a palindrome (337181733).

The spelling of 314041320 in words is "three hundred fourteen million, forty-one thousand, three hundred twenty".