34400

34400 is an integer that follows 34399 and precedes 34401. It is an even number, divisible by 2. Its prime factorization is 2^4 * 5^2 * 17. This means it is composed of the prime factors 2, 5, and 17, raised to those respective powers. The number of divisors for 34400 can be calculated by adding one to each exponent in the prime factorization and multiplying the results: (4+1)*(2+1)*(1+1) = 5*3*2 = 30. Therefore, 34400 has exactly 30 positive divisors. In Roman numerals, 34400 is represented as XXXIVCD. It is not a perfect square, a perfect cube, or a Fibonacci number. The number appears in various contexts, such as serial numbers, product codes, or statistical data, but does not hold a widely recognized specific mathematical significance beyond its numerical properties.