256384

256,384 is a natural number that lies between 256,383 and 256,385. It is an even and composite integer.

Its prime factorization is 256,384 = 2^7 × 2003, where 2003 is a prime number. This gives the number a 2-adic valuation of 7, meaning it is divisible by 2^7 (128) but not by 2^8 (256).

In common base representations, 256,384 is written as 0x3E980 in hexadecimal and as 0011 1110 1001 1000 0000 in binary. It is also close to 2^18 (262,144), differing by 5,760.

The divisors of 256,384 can be listed from its factorization. They are: 1, 2, 4, 8, 16, 32, 64, 128, 2003, 4006, 8012, 16024, 32048, 64096, 128192, and 256384. Consequently, the number of positive divisors is 16.

Regarding representation as a sum of two squares, 256,384 cannot be expressed as the sum of two integer squares. This follows from the sum of squares theorem: since the prime 2003 ≡ 3 (mod 4) appears with an odd exponent in the factorization, the number is not a sum of two squares.

Notes: 256,384 = 128 × 2003, highlighting its relation to both powers of two and a prime factor.