345051144 has 128 divisors (see below), whose sum is σ = 987456000. Its totient is φ = 111601152.

The previous prime is 345051143. The next prime is 345051149. The reversal of 345051144 is 441150543.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (345051143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1245534 + ... + 1245810.

It is an arithmetic number, because the mean of its divisors is an integer number (7714500).

Almost surely, 2^345051144 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 345051144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493728000).

345051144 is an abundant number, since it is smaller than the sum of its proper divisors (642404856).

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

345051144 is a wasteful number, since it uses less digits than its factorization.

345051144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 345051144 is about 18575.5523201869. The cubic root of 345051144 is about 701.3925638828.

The spelling of 345051144 in words is "three hundred forty-five million, fifty-one thousand, one hundred forty-four".