314234144 has 48 divisors (see below), whose sum is σ = 709668288. Its totient is φ = 134168832.

The previous prime is 314234117. The next prime is 314234149. The reversal of 314234144 is 441432413.

It is not an unprimeable number, because it can be changed into a prime (314234149) 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 7 ways as a sum of consecutive naturals, for example, 60914 + ... + 65870.

It is an arithmetic number, because the mean of its divisors is an integer number (14784756).

Almost surely, 2^314234144 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 314234144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354834144).

314234144 is an abundant number, since it is smaller than the sum of its proper divisors (395434144).

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

314234144 is a wasteful number, since it uses less digits than its factorization.

314234144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5257 (or 5249 counting only the distinct ones).

The product of its digits is 4608, while the sum is 26.

The square root of 314234144 is about 17726.6506706710. The cubic root of 314234144 is about 679.8573403152.

Adding to 314234144 its reverse (441432413), we get a palindrome (755666557).

The spelling of 314234144 in words is "three hundred fourteen million, two hundred thirty-four thousand, one hundred forty-four".