301431104 has 126 divisors (see below), whose sum is σ = 692349390. Its totient is φ = 129991680.

The previous prime is 301431101. The next prime is 301431113. The reversal of 301431104 is 401134103.

It can be written as a sum of positive squares in 3 ways, for example, as 61504 + 301369600 = 248^2 + 17360^2 .

It is a super-3 number, since 3×301431104³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (301431101) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9723569 + ... + 9723599.

Almost surely, 2^301431104 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 301431104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346174695).

301431104 is an abundant number, since it is smaller than the sum of its proper divisors (390918286).

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

301431104 is a wasteful number, since it uses less digits than its factorization.

301431104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 301431104 is about 17361.7713382016. The cubic root of 301431104 is about 670.4957376617.

Adding to 301431104 its reverse (401134103), we get a palindrome (702565207).

The spelling of 301431104 in words is "three hundred one million, four hundred thirty-one thousand, one hundred four".