434112 has 112 divisors (see below), whose sum is σ = 1463040. Its totient is φ = 110592.

The previous prime is 434111. The next prime is 434113. The reversal of 434112 is 211434.

434112 = T₈₃ + T₈₄ + ... + T₁₄₆.

It is an interprime number because it is at equal distance from previous prime (434111) and next prime (434113).

It is a tau number, because it is divible by the number of its divisors (112).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

Its product of digits (96) is a multiple of the sum of its prime divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 434091 and 434100.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 434112.

It is not an unprimeable number, because it can be changed into a prime (434111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22839 + ... + 22857.

2⁴³⁴¹¹² is an apocalyptic number.

434112 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731520).

434112 is an abundant number, since it is smaller than the sum of its proper divisors (1028928).

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

434112 is a wasteful number, since it uses less digits than its factorization.

434112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 48 counting only the distinct ones).

The product of its digits is 96, while the sum is 15.

The square root of 434112 is about 658.8717629403. The cubic root of 434112 is about 75.7182550598.

Adding to 434112 its reverse (211434), we get a palindrome (645546).

The spelling of 434112 in words is "four hundred thirty-four thousand, one hundred twelve".