314042320 has 40 divisors (see below), whose sum is σ = 734658336. Its totient is φ = 124841088.

The previous prime is 314042303. The next prime is 314042327. The reversal of 314042320 is 23240413.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314042327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 999 + ... + 25081.

Almost surely, 2^314042320 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 314042320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367329168).

314042320 is an abundant number, since it is smaller than the sum of its proper divisors (420616016).

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

314042320 is a wasteful number, since it uses less digits than its factorization.

314042320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24259 (or 24253 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 314042320 is about 17721.2392343199. The cubic root of 314042320 is about 679.7189726863.

Adding to 314042320 its reverse (23240413), we get a palindrome (337282733).

The spelling of 314042320 in words is "three hundred fourteen million, forty-two thousand, three hundred twenty".