345805140 has 48 divisors (see below), whose sum is σ = 990779328. Its totient is φ = 90069504.

The previous prime is 345805127. The next prime is 345805147. The reversal of 345805140 is 41508543.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 345805098 and 345805107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345805147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64437 + ... + 69596.

It is an arithmetic number, because the mean of its divisors is an integer number (20641236).

Almost surely, 2^345805140 is an apocalyptic number.

345805140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345805140 is an abundant number, since it is smaller than the sum of its proper divisors (644974188).

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

345805140 is a wasteful number, since it uses less digits than its factorization.

345805140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134088 (or 134086 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 345805140 is about 18595.8366308160. The cubic root of 345805140 is about 701.9030799386.

The spelling of 345805140 in words is "three hundred forty-five million, eight hundred five thousand, one hundred forty".