314114304 has 216 divisors, whose sum is σ = 1031794848. Its totient is φ = 84295680.

The previous prime is 314114303. The next prime is 314114329. The reversal of 314114304 is 403411413.

314114304 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 not an unprimeable number, because it can be changed into a prime (314114303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 639499 + ... + 639989.

It is an arithmetic number, because the mean of its divisors is an integer number (4776828).

Almost surely, 2^314114304 is an apocalyptic number.

314114304 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 314114304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515897424).

314114304 is an abundant number, since it is smaller than the sum of its proper divisors (717680544).

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

314114304 is a wasteful number, since it uses less digits than its factorization.

314114304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 314114304 is about 17723.2701271520. The cubic root of 314114304 is about 679.7709032165.

Adding to 314114304 its reverse (403411413), we get a palindrome (717525717).

The spelling of 314114304 in words is "three hundred fourteen million, one hundred fourteen thousand, three hundred four".