314328240 has 120 divisors (see below), whose sum is σ = 1059025968. Its totient is φ = 83550720.

The previous prime is 314328227. The next prime is 314328241. The reversal of 314328240 is 42823413.

314328240 is a `hidden beast` number, since 314 + 328 + 24 + 0 = 666.

314328240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×314328240² = 197604484922995200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (314328241) 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, 331447 + ... + 332393.

Almost surely, 2^314328240 is an apocalyptic number.

314328240 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 314328240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529512984).

314328240 is an abundant number, since it is smaller than the sum of its proper divisors (744697728).

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

314328240 is a wasteful number, since it uses less digits than its factorization.

314328240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1427 (or 1418 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 314328240 is about 17729.3045548888. The cubic root of 314328240 is about 679.9251936163.

The spelling of 314328240 in words is "three hundred fourteen million, three hundred twenty-eight thousand, two hundred forty".