346112 has 36 divisors (see below), whose sum is σ = 749385. Its totient is φ = 159744.

The previous prime is 346111. The next prime is 346117. The reversal of 346112 is 211643.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 295936 + 50176 = 544^2 + 224^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=416.

Its product of digits (144) is a multiple of the sum of its prime factors (48).

It is not an unprimeable number, because it can be changed into a prime (346111) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 26618 + ... + 26630.

346112 is a Friedman number, since it can be written as 416^(3-1)*2, using all its digits and the basic arithmetic operations.

2³⁴⁶¹¹² is an apocalyptic number.

346112 is a gapful number since it is divisible by the number (32) 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 346112

346112 is an abundant number, since it is smaller than the sum of its proper divisors (403273).

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

346112 is an equidigital number, since it uses as much as digits as its factorization.

346112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 15 counting only the distinct ones).

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

The square root of 346112 is about 588.3128419472. The cubic root of 346112 is about 70.2110636426.

Adding to 346112 its reverse (211643), we get a palindrome (557755).

The spelling of 346112 in words is "three hundred forty-six thousand, one hundred twelve".