Search a number
341280000 = 28335479

341280000 has 360 divisors, whose sum is σ = 1277091200. Its totient is φ = 89856000.

The previous prime is 341279987. The next prime is 341280007. The reversal of 341280000 is 82143.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (341280007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4319961 + ... + 4320039.

Almost surely, 2341280000 is an apocalyptic number.

341280000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

341280000 is the 9875-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 341280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638545600).

341280000 is an abundant number, since it is smaller than the sum of its proper divisors (935811200).

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

341280000 is an frugal number, since it uses more digits than its factorization.

341280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 341280000 is about 18473.7651820088. The cubic root of 341280000 is about 698.8279707071.

The spelling of 341280000 in words is "three hundred forty-one million, two hundred eighty thousand".