340288 has 28 divisors (see below), whose sum is σ = 728980. Its totient is φ = 156672.

The previous prime is 340283. The next prime is 340297. The reversal of 340288 is 882043.

It can be written as a sum of positive squares in 2 ways, for example, as 186624 + 153664 = 432^2 + 392^2 .

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340283) by changing a digit.

340288 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 628 + ... + 1036.

It is an arithmetic number, because the mean of its divisors is an integer number (26035).

2³⁴⁰²⁸⁸ 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 340288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364490).

340288 is an abundant number, since it is smaller than the sum of its proper divisors (388692).

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

340288 is a wasteful number, since it uses less digits than its factorization.

340288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 340288 is about 583.3420951723. The cubic root of 340288 is about 69.8150218214.

The spelling of 340288 in words is "three hundred forty thousand, two hundred eighty-eight".