345000414 has 128 divisors (see below), whose sum is σ = 862202880. Its totient is φ = 90675200.

The previous prime is 345000379. The next prime is 345000427. The reversal of 345000414 is 414000543.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 748144 + ... + 748604.

It is an arithmetic number, because the mean of its divisors is an integer number (6735960).

Almost surely, 2^345000414 is an apocalyptic number.

345000414 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 345000414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431101440).

345000414 is an abundant number, since it is smaller than the sum of its proper divisors (517202466).

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

345000414 is a wasteful number, since it uses less digits than its factorization.

345000414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546.

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 345000414 is about 18574.1867655087. The cubic root of 345000414 is about 701.3581888930.

Adding to 345000414 its reverse (414000543), we get a palindrome (759000957).

The spelling of 345000414 in words is "three hundred forty-five million, four hundred fourteen", and thus it is an aban number.