314301312 has 192 divisors, whose sum is σ = 1006911360. Its totient is φ = 93450240.

The previous prime is 314301311. The next prime is 314301331. The reversal of 314301312 is 213103413.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314301311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 463918 + ... + 464594.

It is an arithmetic number, because the mean of its divisors is an integer number (5244330).

Almost surely, 2^314301312 is an apocalyptic number.

314301312 is a gapful number since it is divisible by the number (32) 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 314301312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503455680).

314301312 is an abundant number, since it is smaller than the sum of its proper divisors (692610048).

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

314301312 is a wasteful number, since it uses less digits than its factorization.

314301312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 314301312 is about 17728.5451179729. The cubic root of 314301312 is about 679.9057770255.

Adding to 314301312 its reverse (213103413), we get a palindrome (527404725).

The spelling of 314301312 in words is "three hundred fourteen million, three hundred one thousand, three hundred twelve".