345056112 has 180 divisors, whose sum is σ = 1061647080. Its totient is φ = 108335232.

The previous prime is 345056087. The next prime is 345056113. The reversal of 345056112 is 211650543.

345056112 is a `hidden beast` number, since 3 + 45 + 0 + 5 + 611 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345056113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1994458 + ... + 1994630.

Almost surely, 2^345056112 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 345056112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530823540).

345056112 is an abundant number, since it is smaller than the sum of its proper divisors (716590968).

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

345056112 is an equidigital number, since it uses as much as digits as its factorization.

345056112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 345056112 is about 18575.6860438585. The cubic root of 345056112 is about 701.3959300520.

The spelling of 345056112 in words is "three hundred forty-five million, fifty-six thousand, one hundred twelve".