7344

7344 is a natural number that follows 7343 and precedes 7345. In mathematics, it has the prime factorization 2^4 × 3^3 × 17, which gives it 40 positive divisors. It is an even and highly composite-type number, as it can be expressed in several simple products: 7344 = 16 × 459, = 8 × 918, = 9 × 816, = 72 × 102, and = 144 × 51, among others.

The digit sum of 7344 is 7 + 3 + 4 + 4 = 18, so it is a Harshad (Niven) number in base 10, since 7344 ÷ 18 = 408. It is divisible by 2, 3, 4, 6, 8, 9, and 12, reflecting its factorization structure.

In other representations, 7344 equals 0x1CB0 in hexadecimal and 1110010110000 in binary. These representations can be useful in computer science and digital applications where different numeral bases are employed.

Overall, 7344 is primarily notable for its factorization properties and multiple representations. Its mathematical significance rests on standard number-theory features such as divisibility, factorization, and base representations, rather than any widely recognized historical or cultural associations.