314434100 has 36 divisors (see below), whose sum is σ = 684917100. Its totient is φ = 125295360.

The previous prime is 314434067. The next prime is 314434111. The reversal of 314434100 is 1434413.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1073296 + 313360804 = 1036^2 + 17702^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21056 + ... + 32744.

It is an arithmetic number, because the mean of its divisors is an integer number (19025475).

Almost surely, 2^314434100 is an apocalyptic number.

It is an amenable number.

314434100 is an abundant number, since it is smaller than the sum of its proper divisors (370483000).

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

314434100 is a wasteful number, since it uses less digits than its factorization.

314434100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11972 (or 11965 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 314434100 is about 17732.2897562610. The cubic root of 314434100 is about 680.0015138375.

Adding to 314434100 its reverse (1434413), we get a palindrome (315868513).

The spelling of 314434100 in words is "three hundred fourteen million, four hundred thirty-four thousand, one hundred".