340290000 has 300 divisors, whose sum is σ = 1258972000. Its totient is φ = 85536000.

The previous prime is 340289977. The next prime is 340290001. The reversal of 340290000 is 92043.

340290000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (300).

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 (340290001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1709901 + ... + 1710099.

Almost surely, 2^340290000 is an apocalyptic number.

340290000 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 340290000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629486000).

340290000 is an abundant number, since it is smaller than the sum of its proper divisors (918682000).

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

340290000 is a wasteful number, since it uses less digits than its factorization.

340290000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 340290000 is about 18446.9509675718. The cubic root of 340290000 is about 698.1515859749.

The spelling of 340290000 in words is "three hundred forty million, two hundred ninety thousand".