345008440 has 96 divisors (see below), whose sum is σ = 910571040. Its totient is φ = 115246080.

The previous prime is 345008431. The next prime is 345008449. The reversal of 345008440 is 44800543.

It is an interprime number because it is at equal distance from previous prime (345008431) and next prime (345008449).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 345008399 and 345008408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345008449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 470314 + ... + 471046.

It is an arithmetic number, because the mean of its divisors is an integer number (9485115).

Almost surely, 2^345008440 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 345008440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455285520).

345008440 is an abundant number, since it is smaller than the sum of its proper divisors (565562600).

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

345008440 is a wasteful number, since it uses less digits than its factorization.

345008440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 345008440 is about 18574.4028167799. The cubic root of 345008440 is about 701.3636275891.

Adding to 345008440 its reverse (44800543), we get a palindrome (389808983).

The spelling of 345008440 in words is "three hundred forty-five million, eight thousand, four hundred forty".