340514000 has 80 divisors (see below), whose sum is σ = 833049360. Its totient is φ = 134604800.

The previous prime is 340513981. The next prime is 340514039. The reversal of 340514000 is 415043.

It can be written as a sum of positive squares in 8 ways, for example, as 96904336 + 243609664 = 9844^2 + 15608^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 340514000.

It is a congruent number.

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, 177044 + ... + 178956.

It is an arithmetic number, because the mean of its divisors is an integer number (10413117).

Almost surely, 2^340514000 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 340514000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416524680).

340514000 is an abundant number, since it is smaller than the sum of its proper divisors (492535360).

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

340514000 is a wasteful number, since it uses less digits than its factorization.

340514000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2025 (or 2009 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 340514000 is about 18453.0214328169. The cubic root of 340514000 is about 698.3047412772.

Adding to 340514000 its reverse (415043), we get a palindrome (340929043).

The spelling of 340514000 in words is "three hundred forty million, five hundred fourteen thousand".