352

352 is a natural number that comes after 351 and before 353. In mathematics, it is an even composite number. Its prime factorization is 2^5 × 11, and its divisors are 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, and 352. This makes it a non-prime, non-square-free integer with 12 positive divisors. It is not divisible by 3 or 5, and the sum of its digits is 10.

In numeral systems, 352 has representations including binary 101100000, octal 540, and hexadecimal 0x160. In Roman numerals it is written CCCLII.

In practical contexts, 352 is the international calling code for Luxembourg, used in dialing international numbers to reach Luxembourg-based destinations, with the country code +352. In calendar terms, 352 can denote the year 352 CE in the Western dating system, which falls within the period of the late Roman Empire.

In other mathematical contexts, 352 equals 32 × 11, highlighting its expression as the product of a power of two and a prime. It also appears in various modular arithmetic scenarios and is used as an example in introductory number theory due to its factorization pattern.

Overall, while not widely singled out beyond numerical properties and its role as Luxembourg’s country calling code, 352 is a representative composite number with several straightforward representations and divisors.