348
348 is a even composite number that follows 347 and precedes 349. It is composed of 12 distinct factors: 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348. Its prime factorization can be written as 2^2 × 3 × 29. 348 is classified as a abundant number based on the sum of its proper divisors. In computer science, 348 is represented as 101011100 in binary and 15C in hexadecimal. Historically, it is written as CCCXLVIII in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (2^2 × 3 × 29) reveals 4 prime building blocks.
Divisible by 2
348 ends in 8, so it is even.
Divisible by 3
The digit sum 15 is a multiple of 3.
Divisible by 4
The last two digits 48 form a multiple of 4.
Divisible by 5
348 does not end in 0 or 5.
Divisible by 6
It meets the tests for both 2 and 3, so it is divisible by 6.
Divisible by 9
The digit sum 15 is not a multiple of 9.
Divisible by 10
348 does not end in 0.
Divisible by 11
The alternating digit sum 7 is not a multiple of 11.
Abundant classification and digit analytics place 348 within several notable number theory sequences:
Timeline
Deep dive
How 348 breaks down
348 carries 12 distinct factors and a digit signature of 15 (6 as the digital root). The abundant classification indicates that its proper divisors sum to 492, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101011100 supports bitwise reasoning, hexadecimal 15C aligns with computing notation, and the Roman numeral CCCXLVIII keeps the encyclopedic tradition alive. These attributes make 348 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 348 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (343–353) to tune search ranges, and educators feature 348 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 348 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 348
Is 348 a prime number?
348 is composite with 12 total factors and the prime factorization 2^2 × 3 × 29.
What is the prime factorization of 348?
It breaks down as 2^2 × 3 × 29, multiplying the primes 2 × 2 × 3 × 29.
How is 348 represented in binary and hexadecimal?
348 converts to 101011100 in binary and 15C in hexadecimal, which are helpful for computer science applications.
Is 348 a perfect square, cube, or triangular number?
348 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 348?
The digits sum to 15, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.