345007104 has 176 divisors, whose sum is σ = 1015180992. Its totient is φ = 103514112.

The previous prime is 345007099. The next prime is 345007121. The reversal of 345007104 is 401700543.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2116527 + ... + 2116689.

Almost surely, 2^345007104 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 345007104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507590496).

345007104 is an abundant number, since it is smaller than the sum of its proper divisors (670173888).

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

345007104 is a wasteful number, since it uses less digits than its factorization.

345007104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 345007104 is about 18574.3668532739. The cubic root of 345007104 is about 701.3627222750.

Adding to 345007104 its reverse (401700543), we get a palindrome (746707647).

The spelling of 345007104 in words is "three hundred forty-five million, seven thousand, one hundred four".