342
342 is a even composite number that follows 341 and precedes 343. It is composed of 12 distinct factors: 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342. Its prime factorization can be written as 2 × 3^2 × 19. 342 is classified as a abundant number based on the sum of its proper divisors. In computer science, 342 is represented as 101010110 in binary and 156 in hexadecimal. Historically, it is written as CCCXLII in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (2 × 3^2 × 19) reveals 4 prime building blocks.
Divisible by 2
342 ends in 2, so it is even.
Divisible by 3
The digit sum 9 is a multiple of 3.
Divisible by 4
The last two digits 42 are not divisible by 4.
Divisible by 5
342 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 9 is a multiple of 9.
Divisible by 10
342 does not end in 0.
Divisible by 11
The alternating digit sum 1 is not a multiple of 11.
Abundant classification and digit analytics place 342 within several notable number theory sequences:
Timeline
Deep dive
How 342 breaks down
342 carries 12 distinct factors and a digit signature of 9 (9 as the digital root). The abundant classification indicates that its proper divisors sum to 438, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101010110 supports bitwise reasoning, hexadecimal 156 aligns with computing notation, and the Roman numeral CCCXLII keeps the encyclopedic tradition alive. These attributes make 342 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 342 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (337–347) to tune search ranges, and educators feature 342 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 342 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 342
Is 342 a prime number?
342 is composite with 12 total factors and the prime factorization 2 × 3^2 × 19.
What is the prime factorization of 342?
It breaks down as 2 × 3^2 × 19, multiplying the primes 2 × 3 × 3 × 19.
How is 342 represented in binary and hexadecimal?
342 converts to 101010110 in binary and 156 in hexadecimal, which are helpful for computer science applications.
Is 342 a perfect square, cube, or triangular number?
342 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 342?
The digits sum to 9, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.