345270240 has 144 divisors (see below), whose sum is σ = 1346593248. Its totient is φ = 78916608.

The previous prime is 345270179. The next prime is 345270241. The reversal of 345270240 is 42072543.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345270241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7047 + ... + 27206.

It is an arithmetic number, because the mean of its divisors is an integer number (9351342).

Almost surely, 2^345270240 is an apocalyptic number.

345270240 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 345270240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673296624).

345270240 is an abundant number, since it is smaller than the sum of its proper divisors (1001323008).

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

345270240 is a wasteful number, since it uses less digits than its factorization.

345270240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34281 (or 34270 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 345270240 is about 18581.4488132653. The cubic root of 345270240 is about 701.5409861227.

The spelling of 345270240 in words is "three hundred forty-five million, two hundred seventy thousand, two hundred forty".