313041400 has 144 divisors (see below), whose sum is σ = 896929200. Its totient is φ = 100961280.

The previous prime is 313041367. The next prime is 313041413. The reversal of 313041400 is 4140313.

It is a super-2 number, since 2×313041400² = 195989836227920000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 165661 + ... + 167539.

It is an arithmetic number, because the mean of its divisors is an integer number (6228675).

Almost surely, 2^313041400 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 313041400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448464600).

313041400 is an abundant number, since it is smaller than the sum of its proper divisors (583887800).

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

313041400 is a wasteful number, since it uses less digits than its factorization.

313041400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1926 (or 1910 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 313041400 is about 17692.9760074443. The cubic root of 313041400 is about 678.9960675721.

Adding to 313041400 its reverse (4140313), we get a palindrome (317181713).

The spelling of 313041400 in words is "three hundred thirteen million, forty-one thousand, four hundred".