340305000 has 240 divisors, whose sum is σ = 1239353280. Its totient is φ = 77616000.

The previous prime is 340304983. The next prime is 340305001. The reversal of 340305000 is 503043.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (340305001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 734769 + ... + 735231.

It is an arithmetic number, because the mean of its divisors is an integer number (5163972).

Almost surely, 2^340305000 is an apocalyptic number.

340305000 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 340305000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619676640).

340305000 is an abundant number, since it is smaller than the sum of its proper divisors (899048280).

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

340305000 is a wasteful number, since it uses less digits than its factorization.

340305000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 15.

The square root of 340305000 is about 18447.3575343462. The cubic root of 340305000 is about 698.1618440096.

Adding to 340305000 its reverse (503043), we get a palindrome (340808043).

The spelling of 340305000 in words is "three hundred forty million, three hundred five thousand".