314540640 has 144 divisors (see below), whose sum is σ = 1120156128. Its totient is φ = 80222208.

The previous prime is 314540627. The next prime is 314540669. The reversal of 314540640 is 46045413.

314540640 is a `hidden beast` number, since 3 + 14 + 5 + 4 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28372 + ... + 37868.

It is an arithmetic number, because the mean of its divisors is an integer number (7778862).

Almost surely, 2^314540640 is an apocalyptic number.

314540640 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 314540640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560078064).

314540640 is an abundant number, since it is smaller than the sum of its proper divisors (805615488).

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

314540640 is a wasteful number, since it uses less digits than its factorization.

314540640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9541 (or 9530 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 314540640 is about 17735.2936259877. The cubic root of 314540640 is about 680.0783070143.

The spelling of 314540640 in words is "three hundred fourteen million, five hundred forty thousand, six hundred forty".