3340
3340 is a even composite number that follows 3339 and precedes 3341. It is composed of 12 distinct factors: 1, 2, 4, 5, 10, 20, 167, 334, 668, 835, 1670, 3340. Its prime factorization can be written as 2^2 × 5 × 167. 3340 is classified as a abundant number based on the sum of its proper divisors. In computer science, 3340 is represented as 110100001100 in binary and D0C in hexadecimal. Historically, it is written as MMMCCCXL in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (2^2 × 5 × 167) reveals 4 prime building blocks.
Divisible by 2
3340 ends in 0, so it is even.
Divisible by 3
The digit sum 10 is not a multiple of 3.
Divisible by 4
The last two digits 40 form a multiple of 4.
Divisible by 5
3340 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 10 is not a multiple of 9.
Divisible by 10
3340 ends in 0.
Divisible by 11
The alternating digit sum 4 is not a multiple of 11.
Abundant classification and digit analytics place 3340 within several notable number theory sequences:
Timeline
Deep dive
How 3340 breaks down
3340 carries 12 distinct factors and a digit signature of 10 (1 as the digital root). The abundant classification indicates that its proper divisors sum to 3716, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110100001100 supports bitwise reasoning, hexadecimal D0C aligns with computing notation, and the Roman numeral MMMCCCXL keeps the encyclopedic tradition alive. These attributes make 3340 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3340 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3335–3345) to tune search ranges, and educators feature 3340 in worksheets about factor trees. Its binary footprint of length 12 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 3340 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 3340
Is 3340 a prime number?
3340 is composite with 12 total factors and the prime factorization 2^2 × 5 × 167.
What is the prime factorization of 3340?
It breaks down as 2^2 × 5 × 167, multiplying the primes 2 × 2 × 5 × 167.
How is 3340 represented in binary and hexadecimal?
3340 converts to 110100001100 in binary and D0C in hexadecimal, which are helpful for computer science applications.
Is 3340 a perfect square, cube, or triangular number?
3340 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3340?
The digits sum to 10, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.