431111034 has 96 divisors (see below), whose sum is σ = 1016256384. Its totient is φ = 131725440.

The previous prime is 431111033. The next prime is 431111089. The reversal of 431111034 is 430111134.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 431110998 and 431111016.

It is not an unprimeable number, because it can be changed into a prime (431111033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1085724 + ... + 1086120.

It is an arithmetic number, because the mean of its divisors is an integer number (10586004).

Almost surely, 2^431111034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431111034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508128192).

431111034 is an abundant number, since it is smaller than the sum of its proper divisors (585145350).

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

431111034 is a wasteful number, since it uses less digits than its factorization.

431111034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 431111034 is about 20763.2134796134. The cubic root of 431111034 is about 755.4337428461.

Adding to 431111034 its reverse (430111134), we get a palindrome (861222168).

The spelling of 431111034 in words is "four hundred thirty-one million, one hundred eleven thousand, thirty-four".