345141000 has 160 divisors (see below), whose sum is σ = 1206742680. Its totient is φ = 92016000.

The previous prime is 345140981. The next prime is 345141029. The reversal of 345141000 is 141543.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 202720644 + 142420356 = 14238^2 + 11934^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 78870 + ... + 83130.

Almost surely, 2^345141000 is an apocalyptic number.

345141000 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 345141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603371340).

345141000 is an abundant number, since it is smaller than the sum of its proper divisors (861601680).

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

345141000 is a wasteful number, since it uses less digits than its factorization.

345141000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4294 (or 4271 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 345141000 is about 18577.9708256849. The cubic root of 345141000 is about 701.4534426456.

Adding to 345141000 its reverse (141543), we get a palindrome (345282543).

The spelling of 345141000 in words is "three hundred forty-five million, one hundred forty-one thousand".