350
350 is a even composite number that follows 349 and precedes 351. It is composed of 12 distinct factors: 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350. Its prime factorization can be written as 2 × 5^2 × 7. 350 is classified as a abundant number based on the sum of its proper divisors. In computer science, 350 is represented as 101011110 in binary and 15E in hexadecimal. Historically, it is written as CCCL in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (2 × 5^2 × 7) reveals 4 prime building blocks.
Divisible by 2
350 ends in 0, so it is even.
Divisible by 3
The digit sum 8 is not a multiple of 3.
Divisible by 4
The last two digits 50 are not divisible by 4.
Divisible by 5
350 ends in 0, so it is divisible by 5.
Divisible by 6
A number must be divisible by 2 and 3 to pass the 6-test.
Divisible by 9
The digit sum 8 is not a multiple of 9.
Divisible by 10
350 ends in 0.
Divisible by 11
The alternating digit sum -2 is not a multiple of 11.
Abundant classification and digit analytics place 350 within several notable number theory sequences:
Timeline
Deep dive
How 350 breaks down
350 carries 12 distinct factors and a digit signature of 8 (8 as the digital root). The abundant classification indicates that its proper divisors sum to 394, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101011110 supports bitwise reasoning, hexadecimal 15E aligns with computing notation, and the Roman numeral CCCL keeps the encyclopedic tradition alive. These attributes make 350 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 350 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (345–355) to tune search ranges, and educators feature 350 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 350 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 350
Is 350 a prime number?
350 is composite with 12 total factors and the prime factorization 2 × 5^2 × 7.
What is the prime factorization of 350?
It breaks down as 2 × 5^2 × 7, multiplying the primes 2 × 5 × 5 × 7.
How is 350 represented in binary and hexadecimal?
350 converts to 101011110 in binary and 15E in hexadecimal, which are helpful for computer science applications.
Is 350 a perfect square, cube, or triangular number?
350 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 350?
The digits sum to 8, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.