345040 has 40 divisors (see below), whose sum is σ = 848160. Its totient is φ = 130176.

The previous prime is 345019. The next prime is 345041. The reversal of 345040 is 40543.

345040 = T₁₈₁ + T₁₈₂ + ... + T₁₉₉.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1407 + ... + 1633.

It is an arithmetic number, because the mean of its divisors is an integer number (21204).

2³⁴⁵⁰⁴⁰ 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 345040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424080).

345040 is an abundant number, since it is smaller than the sum of its proper divisors (503120).

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

345040 is a wasteful number, since it uses less digits than its factorization.

345040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 345040 is about 587.4010554979. The cubic root of 345040 is about 70.1385012922.

Adding to 345040 its reverse (40543), we get a palindrome (385583).

The spelling of 345040 in words is "three hundred forty-five thousand, forty".