340992 has 66 divisors (see below), whose sum is σ = 1011218. Its totient is φ = 110592.

The previous prime is 340979. The next prime is 340999. The reversal of 340992 is 299043.

It can be written as a sum of positive squares in only one way, i.e., 331776 + 9216 = 576^2 + 96^2 .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 340992.

It is not an unprimeable number, because it can be changed into a prime (340999) by changing a digit.

340992 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9198 + ... + 9234.

2³⁴⁰⁹⁹² is an apocalyptic number.

340992 is a gapful number since it is divisible by the number (32) 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 340992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505609).

340992 is an abundant number, since it is smaller than the sum of its proper divisors (670226).

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

340992 is a wasteful number, since it uses less digits than its factorization.

340992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 340992 is about 583.9452029086. The cubic root of 340992 is about 69.8631339304.

The spelling of 340992 in words is "three hundred forty thousand, nine hundred ninety-two".