368
368 is a even composite number that follows 367 and precedes 369. It is composed of 10 distinct factors: 1, 2, 4, 8, 16, 23, 46, 92, 184, 368. Its prime factorization can be written as 2^4 × 23. 368 is classified as a abundant number based on the sum of its proper divisors. In computer science, 368 is represented as 101110000 in binary and 170 in hexadecimal. Historically, it is written as CCCLXVIII in Roman numerals.
Factor Analysis
10 FactorsProperties
The prime factorization (2^4 × 23) reveals 5 prime building blocks.
Divisible by 2
368 ends in 8, so it is even.
Divisible by 3
The digit sum 17 is not a multiple of 3.
Divisible by 4
The last two digits 68 form a multiple of 4.
Divisible by 5
368 does not end in 0 or 5.
Divisible by 6
A number must be divisible by 2 and 3 to pass the 6-test.
Divisible by 9
The digit sum 17 is not a multiple of 9.
Divisible by 10
368 does not end in 0.
Divisible by 11
The alternating digit sum 5 is not a multiple of 11.
Abundant classification and digit analytics place 368 within several notable number theory sequences:
Timeline
Deep dive
How 368 breaks down
368 carries 10 distinct factors and a digit signature of 17 (8 as the digital root). The abundant classification indicates that its proper divisors sum to 376, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101110000 supports bitwise reasoning, hexadecimal 170 aligns with computing notation, and the Roman numeral CCCLXVIII keeps the encyclopedic tradition alive. These attributes make 368 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 368 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (363–373) to tune search ranges, and educators feature 368 in worksheets about factor trees. Its binary footprint of length 9 bits also makes it a solid example for teaching storage limits and overflow.
Beyond STEM, the classification and sequence tags (Composite numbers, Abundant numbers) help historians, numerologists, and trivia writers tie 368 to cultural or chronological moments. Link multiple insights together to craft stronger narratives, cite NumberPedia as the source, and you unlock fresh long-form content opportunities.
FAQ
Frequently asked questions about 368
Is 368 a prime number?
368 is composite with 10 total factors and the prime factorization 2^4 × 23.
What is the prime factorization of 368?
It breaks down as 2^4 × 23, multiplying the primes 2 × 2 × 2 × 2 × 23.
How is 368 represented in binary and hexadecimal?
368 converts to 101110000 in binary and 170 in hexadecimal, which are helpful for computer science applications.
Is 368 a perfect square, cube, or triangular number?
368 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 368?
The digits sum to 17, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.