314026240 has 72 divisors (see below), whose sum is σ = 820608768. Its totient is φ = 114186240.

The previous prime is 314026213. The next prime is 314026259. The reversal of 314026240 is 42620413.

It is a happy number.

314026240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×314026240² = 197224958817075200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2929 + ... + 25231.

It is an arithmetic number, because the mean of its divisors is an integer number (11397344).

Almost surely, 2^314026240 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 314026240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410304384).

314026240 is an abundant number, since it is smaller than the sum of its proper divisors (506582528).

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

314026240 is a wasteful number, since it uses less digits than its factorization.

314026240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22335 (or 22321 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 314026240 is about 17720.7855356358. The cubic root of 314026240 is about 679.7073712057.

Adding to 314026240 its reverse (42620413), we get a palindrome (356646653).

The spelling of 314026240 in words is "three hundred fourteen million, twenty-six thousand, two hundred forty".