345341000 has 64 divisors (see below), whose sum is σ = 812663280. Its totient is φ = 137356800.

The previous prime is 345340999. The next prime is 345341011. The reversal of 345341000 is 143543.

It can be written as a sum of positive squares in 8 ways, for example, as 12716356 + 332624644 = 3566^2 + 18238^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 15 ways as a sum of consecutive naturals, for example, 196124 + ... + 197876.

Almost surely, 2^345341000 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 345341000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406331640).

345341000 is an abundant number, since it is smaller than the sum of its proper divisors (467322280).

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

345341000 is a wasteful number, since it uses less digits than its factorization.

345341000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1971 (or 1957 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 345341000 is about 18583.3527653112. The cubic root of 345341000 is about 701.5889076671.

Adding to 345341000 its reverse (143543), we get a palindrome (345484543).

The spelling of 345341000 in words is "three hundred forty-five million, three hundred forty-one thousand".