345150 has 72 divisors (see below), whose sum is σ = 1015560. Its totient is φ = 83520.

The previous prime is 345143. The next prime is 345181. The reversal of 345150 is 51543.

345150 is nontrivially palindromic in base 14.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5821 + ... + 5879.

It is an arithmetic number, because the mean of its divisors is an integer number (14105).

2³⁴⁵¹⁵⁰ is an apocalyptic number.

345150 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 345150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507780).

345150 is an abundant number, since it is smaller than the sum of its proper divisors (670410).

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

345150 is a wasteful number, since it uses less digits than its factorization.

345150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 345150 is about 587.4946808270. The cubic root of 345150 is about 70.1459539696.

Adding to 345150 its reverse (51543), we get a palindrome (396693).

It can be divided in two parts, 34 and 5150, that added together give a square (5184 = 72²).

The spelling of 345150 in words is "three hundred forty-five thousand, one hundred fifty".