345888 has 36 divisors (see below), whose sum is σ = 984438. Its totient is φ = 115200.

The previous prime is 345887. The next prime is 345889. The reversal of 345888 is 888543.

345888 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (345887) and next prime (345889).

It can be written as a sum of positive squares in only one way, i.e., 345744 + 144 = 588^2 + 12^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a plaindrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (345881) 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 5 ways as a sum of consecutive naturals, for example, 313 + ... + 888.

2³⁴⁵⁸⁸⁸ is an apocalyptic number.

It is an amenable number.

345888 is an abundant number, since it is smaller than the sum of its proper divisors (638550).

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

345888 is a wasteful number, since it uses less digits than its factorization.

345888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1217 (or 1206 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 345888 is about 588.1224362325. The cubic root of 345888 is about 70.1959137564.

It can be divided in two parts, 34588 and 8, that added together give a square (34596 = 186²).

The spelling of 345888 in words is "three hundred forty-five thousand, eight hundred eighty-eight".