314348640 has 96 divisors (see below), whose sum is σ = 1014412896. Its totient is φ = 81776640.

The previous prime is 314348569. The next prime is 314348647. The reversal of 314348640 is 46843413.

It is a happy number.

314348640 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 (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314348647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11694 + ... + 27666.

It is an arithmetic number, because the mean of its divisors is an integer number (10566801).

Almost surely, 2^314348640 is an apocalyptic number.

314348640 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 314348640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507206448).

314348640 is an abundant number, since it is smaller than the sum of its proper divisors (700064256).

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

314348640 is a wasteful number, since it uses less digits than its factorization.

314348640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16032 (or 16024 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 314348640 is about 17729.8798642292. The cubic root of 314348640 is about 679.9399024166.

The spelling of 314348640 in words is "three hundred fourteen million, three hundred forty-eight thousand, six hundred forty".