1364

1364 is a natural number that follows 1363 and precedes 1365. In base ten it is an even, composite number with several small prime factors.

Its prime factorization is 2^2 × 11 × 31. Accordingly, 1364 has 12 positive divisors: 1, 2, 4, 11, 22, 44, 31, 62, 124, 341, 682, and 1364. The sum of all divisors equals 2688, which gives a sum of proper divisors of 1324. Since 1324 < 1364, 1364 is classified as a deficient number.

In different numeral systems, 1364 has these representations: binary 10101010100, hexadecimal 0x554, and octal 2524_8. These forms reflect its factorization structure and parity.

Geometrically or in higher arithmetic, 1364 is not a perfect square or a cube. It lies between 36^2 = 1296 and 37^2 = 1369, being 68 above 1296 and 5 below 1369.

Beyond its numerical properties, 1364 is typically encountered as a counting or indexing value in various numerical lists and datasets. It is one of many integers used to illustrate factorization, divisibility, and base conversions in number theory.