314541344 has 96 divisors (see below), whose sum is σ = 716325120. Its totient is φ = 134664192.

The previous prime is 314541341. The next prime is 314541401. The reversal of 314541344 is 443145413.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (314541341) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 558407 + ... + 558969.

It is an arithmetic number, because the mean of its divisors is an integer number (7461720).

Almost surely, 2^314541344 is an apocalyptic number.

314541344 is a gapful number since it is divisible by the number (34) 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 314541344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358162560).

314541344 is an abundant number, since it is smaller than the sum of its proper divisors (401783776).

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

314541344 is a wasteful number, since it uses less digits than its factorization.

314541344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 674 counting only the distinct ones).

The product of its digits is 11520, while the sum is 29.

The square root of 314541344 is about 17735.3134734067. The cubic root of 314541344 is about 680.0788143942.

Adding to 314541344 its reverse (443145413), we get a palindrome (757686757).

The spelling of 314541344 in words is "three hundred fourteen million, five hundred forty-one thousand, three hundred forty-four".