314542320 has 80 divisors (see below), whose sum is σ = 978226080. Its totient is φ = 83607552.

The previous prime is 314542307. The next prime is 314542351. The reversal of 314542320 is 23245413.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78936 + ... + 82824.

It is an arithmetic number, because the mean of its divisors is an integer number (12227826).

Almost surely, 2^314542320 is an apocalyptic number.

314542320 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 314542320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489113040).

314542320 is an abundant number, since it is smaller than the sum of its proper divisors (663683760).

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

314542320 is a wasteful number, since it uses less digits than its factorization.

314542320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4242 (or 4236 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 314542320 is about 17735.3409891099. The cubic root of 314542320 is about 680.0795178059.

Adding to 314542320 its reverse (23245413), we get a palindrome (337787733).

The spelling of 314542320 in words is "three hundred fourteen million, five hundred forty-two thousand, three hundred twenty".