431434134 has 64 divisors (see below), whose sum is σ = 990924480. Its totient is φ = 139034880.

The previous prime is 431434123. The next prime is 431434153.

431434134 is a `hidden beast` number, since 4 + 314 + 341 + 3 + 4 = 666.

431434134 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×431434134² = 372270823960659912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 431434098 and 431434107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 361042 + ... + 362234.

It is an arithmetic number, because the mean of its divisors is an integer number (15483195).

Almost surely, 2^431434134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431434134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495462240).

431434134 is an abundant number, since it is smaller than the sum of its proper divisors (559490346).

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

431434134 is a wasteful number, since it uses less digits than its factorization.

431434134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1422 (or 1416 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 431434134 is about 20770.9926098875. The cubic root of 431434134 is about 755.6224178991.

The spelling of 431434134 in words is "four hundred thirty-one million, four hundred thirty-four thousand, one hundred thirty-four".