345200180 has 48 divisors (see below), whose sum is σ = 782686800. Its totient is φ = 127131648.

The previous prime is 345200179. The next prime is 345200201. The reversal of 345200180 is 81002543.

It can be written as a sum of positive squares in 8 ways, for example, as 47499664 + 297700516 = 6892^2 + 17254^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115262 + ... + 118218.

It is an arithmetic number, because the mean of its divisors is an integer number (16305975).

Almost surely, 2^345200180 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 345200180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391343400).

345200180 is an abundant number, since it is smaller than the sum of its proper divisors (437486620).

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

345200180 is a wasteful number, since it uses less digits than its factorization.

345200180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3428 (or 3426 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 345200180 is about 18579.5635040224. The cubic root of 345200180 is about 701.4935321958.

The spelling of 345200180 in words is "three hundred forty-five million, two hundred thousand, one hundred eighty".