314243776 has 224 divisors, whose sum is σ = 856756224. Its totient is φ = 111513600.

The previous prime is 314243773. The next prime is 314243789. The reversal of 314243776 is 677342413.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (314243771) 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, 10136881 + ... + 10136911.

Almost surely, 2^314243776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314243776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428378112).

314243776 is an abundant number, since it is smaller than the sum of its proper divisors (542512448).

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

314243776 is a wasteful number, since it uses less digits than its factorization.

314243776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 68 counting only the distinct ones).

The product of its digits is 84672, while the sum is 37.

The square root of 314243776 is about 17726.9223499174. The cubic root of 314243776 is about 679.8642866418.

The spelling of 314243776 in words is "three hundred fourteen million, two hundred forty-three thousand, seven hundred seventy-six".