343296 has 54 divisors (see below), whose sum is σ = 996450. Its totient is φ = 113664.

The previous prime is 343289. The next prime is 343303. The reversal of 343296 is 692343.

343296 is nontrivially palindromic in base 15.

It is an interprime number because it is at equal distance from previous prime (343289) and next prime (343303).

It can be written as a sum of positive squares in only one way, i.e., 230400 + 112896 = 480^2 + 336^2 .

It is a nude number because it is divisible by every one of its digits.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

343296 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 (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2230 + ... + 2378.

2³⁴³²⁹⁶ is an apocalyptic number.

343296 is a gapful number since it is divisible by the number (36) 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 343296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498225).

343296 is an abundant number, since it is smaller than the sum of its proper divisors (653154).

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

343296 is a wasteful number, since it uses less digits than its factorization.

343296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 154 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

The square root of 343296 is about 585.9146695552. The cubic root of 343296 is about 70.0201302649.

The spelling of 343296 in words is "three hundred forty-three thousand, two hundred ninety-six".