312414100 has 72 divisors (see below), whose sum is σ = 742686840. Its totient is φ = 113541120.

The previous prime is 312414097. The next prime is 312414101. The reversal of 312414100 is 1414213.

It can be written as a sum of positive squares in 12 ways, for example, as 59413264 + 253000836 = 7708^2 + 15906^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312414101) 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, 46132 + ... + 52468.

It is an arithmetic number, because the mean of its divisors is an integer number (10315095).

Almost surely, 2^312414100 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 312414100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371343420).

312414100 is an abundant number, since it is smaller than the sum of its proper divisors (430272740).

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

312414100 is a wasteful number, since it uses less digits than its factorization.

312414100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6397 (or 6390 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 312414100 is about 17675.2397437772. The cubic root of 312414100 is about 678.5422201911.

Adding to 312414100 its reverse (1414213), we get a palindrome (313828313).

The spelling of 312414100 in words is "three hundred twelve million, four hundred fourteen thousand, one hundred".