345540 has 48 divisors (see below), whose sum is σ = 1044288. Its totient is φ = 84864.

The previous prime is 345533. The next prime is 345547. The reversal of 345540 is 45543.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (345533) and next prime (345547).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 345540.

It is not an unprimeable number, because it can be changed into a prime (345547) by changing a digit.

345540 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 559 + ... + 1001.

It is an arithmetic number, because the mean of its divisors is an integer number (21756).

2³⁴⁵⁵⁴⁰ is an apocalyptic number.

345540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522144).

345540 is an abundant number, since it is smaller than the sum of its proper divisors (698748).

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

345540 is a wasteful number, since it uses less digits than its factorization.

345540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 345540 is about 587.8265050166. The cubic root of 345540 is about 70.1723643463.

The spelling of 345540 in words is "three hundred forty-five thousand, five hundred forty".