345144240 has 300 divisors, whose sum is σ = 1395732096. Its totient is φ = 78817536.

The previous prime is 345144221. The next prime is 345144271. The reversal of 345144240 is 42441543.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 316977 + ... + 318063.

Almost surely, 2^345144240 is an apocalyptic number.

345144240 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 345144240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697866048).

345144240 is an abundant number, since it is smaller than the sum of its proper divisors (1050587856).

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

345144240 is a wasteful number, since it uses less digits than its factorization.

345144240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 345144240 is about 18578.0580255311. The cubic root of 345144240 is about 701.4556375959.

Adding to 345144240 its reverse (42441543), we get a palindrome (387585783).

The spelling of 345144240 in words is "three hundred forty-five million, one hundred forty-four thousand, two hundred forty".