345113028 has 96 divisors (see below), whose sum is σ = 967612800. Its totient is φ = 105743232.

The previous prime is 345113009. The next prime is 345113053. The reversal of 345113028 is 820311543.

It is a happy number.

345113028 is a `hidden beast` number, since 345 + 11 + 302 + 8 = 666.

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 = 345112992 and 345113010.

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, 523363 + ... + 524021.

It is an arithmetic number, because the mean of its divisors is an integer number (10079300).

Almost surely, 2^345113028 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 345113028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483806400).

345113028 is an abundant number, since it is smaller than the sum of its proper divisors (622499772).

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

345113028 is a wasteful number, since it uses less digits than its factorization.

345113028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 345113028 is about 18577.2179833257. The cubic root of 345113028 is about 701.4344923366.

The spelling of 345113028 in words is "three hundred forty-five million, one hundred thirteen thousand, twenty-eight".