349
349 is a odd prime number that follows 348 and precedes 350. As a prime number, 349 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 349. 349 is classified as a deficient number based on the sum of its proper divisors. In computer science, 349 is represented as 101011101 in binary and 15D in hexadecimal. Historically, it is written as CCCXLIX in Roman numerals.
Factor Analysis
2 FactorsProperties
349 is prime, so its only factors are 1 and 349.
Divisible by 2
349 ends in 9, so it is odd.
Divisible by 3
The digit sum 16 is not a multiple of 3.
Divisible by 4
The last two digits 49 are not divisible by 4.
Divisible by 5
349 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 16 is not a multiple of 9.
Divisible by 10
349 does not end in 0.
Divisible by 11
The alternating digit sum 8 is not a multiple of 11.
Deficient classification and digit analytics place 349 within several notable number theory sequences:
Timeline
Deep dive
How 349 breaks down
349 carries 2 distinct factors and a digit signature of 16 (7 as the digital root). The deficient classification indicates that its proper divisors sum to 1, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101011101 supports bitwise reasoning, hexadecimal 15D aligns with computing notation, and the Roman numeral CCCXLIX keeps the encyclopedic tradition alive. These attributes make 349 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 349 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (344–354) to tune search ranges, and educators feature 349 in worksheets about prime identification. 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 (Prime numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 349 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 349
Is 349 a prime number?
349 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 349?
349 is already prime, so the factorization is simply 349.
How is 349 represented in binary and hexadecimal?
349 converts to 101011101 in binary and 15D in hexadecimal, which are helpful for computer science applications.
Is 349 a perfect square, cube, or triangular number?
349 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 349?
The digits sum to 16, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.