340082000 has 80 divisors (see below), whose sum is σ = 831269712. Its totient is φ = 134553600.

The previous prime is 340081981. The next prime is 340082021. The reversal of 340082000 is 280043.

It can be written as a sum of positive squares in 8 ways, for example, as 221533456 + 118548544 = 14884^2 + 10888^2 .

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

It is a super-3 number, since 3×340082000³ (a number of 27 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 340082000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193124 + ... + 194876.

Almost surely, 2^340082000 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 340082000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415634856).

340082000 is an abundant number, since it is smaller than the sum of its proper divisors (491187712).

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

340082000 is a wasteful number, since it uses less digits than its factorization.

340082000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1873 (or 1857 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 340082000 is about 18441.3123177284. The cubic root of 340082000 is about 698.0093101442.

The spelling of 340082000 in words is "three hundred forty million, eighty-two thousand".