314324100 has 108 divisors (see below), whose sum is σ = 999311040. Its totient is φ = 82622400.

The previous prime is 314324089. The next prime is 314324119. The reversal of 314324100 is 1423413.

314324100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 61441 + ... + 66359.

It is an arithmetic number, because the mean of its divisors is an integer number (9252880).

Almost surely, 2^314324100 is an apocalyptic number.

314324100 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 314324100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499655520).

314324100 is an abundant number, since it is smaller than the sum of its proper divisors (684986940).

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

314324100 is a wasteful number, since it uses less digits than its factorization.

314324100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5010 (or 5000 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 314324100 is about 17729.1877986556. The cubic root of 314324100 is about 679.9222085174.

Adding to 314324100 its reverse (1423413), we get a palindrome (315747513).

The spelling of 314324100 in words is "three hundred fourteen million, three hundred twenty-four thousand, one hundred".