345414000 has 160 divisors (see below), whose sum is σ = 1162497024. Its totient is φ = 88070400.

The previous prime is 345413987. The next prime is 345414019. The reversal of 345414000 is 414543.

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 31 ways as a sum of consecutive naturals, for example, 136749 + ... + 139251.

Almost surely, 2^345414000 is an apocalyptic number.

345414000 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 345414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581248512).

345414000 is an abundant number, since it is smaller than the sum of its proper divisors (817083024).

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

345414000 is a wasteful number, since it uses less digits than its factorization.

345414000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2552 (or 2536 counting only the distinct ones).

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

The square root of 345414000 is about 18585.3167850322. The cubic root of 345414000 is about 701.6383393708.

Adding to 345414000 its reverse (414543), we get a palindrome (345828543).

The spelling of 345414000 in words is "three hundred forty-five million, four hundred fourteen thousand".