345034144 has 96 divisors (see below), whose sum is σ = 854171136. Its totient is φ = 133539840.

The previous prime is 345034133. The next prime is 345034153. The reversal of 345034144 is 441430543.

345034144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 135604 + ... + 138124.

It is an arithmetic number, because the mean of its divisors is an integer number (8897616).

Almost surely, 2^345034144 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 345034144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427085568).

345034144 is an abundant number, since it is smaller than the sum of its proper divisors (509136992).

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

345034144 is a wasteful number, since it uses less digits than its factorization.

345034144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2598 (or 2590 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The square root of 345034144 is about 18575.0947238500. The cubic root of 345034144 is about 701.3810449437.

Adding to 345034144 its reverse (441430543), we get a palindrome (786464687).

The spelling of 345034144 in words is "three hundred forty-five million, thirty-four thousand, one hundred forty-four".