343 (number)
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|---|---|---|---|---|
| Cardinal | three hundred forty-three | |||
| Ordinal | 343rd (three hundred forty-third) | |||
| Factorization | 73 | |||
| Divisors | 1, 7, 49, 343 | |||
| Greek numeral | ΤΜΓ´ | |||
| Roman numeral | CCCXLIII, cccxliii | |||
| Binary | 1010101112 | |||
| Ternary | 1102013 | |||
| Senary | 13316 | |||
| Octal | 5278 | |||
| Duodecimal | 24712 | |||
| Hexadecimal | 15716 | |||
343 (three hundred [and] forty three) is the natural number following 342 and preceding 344.
In mathematics
[edit]343 factorization is 73 (7 × 7 × 7) meaning it is a cubic number.[1] It is also a powerful number,[2] and an economical number.[3]
343 is the first nice Friedman number that is composite since 343 = (3 + 4)3.[4][5] It is the only known example of x2+x+1 = y3, in this case, x=18, y=7.[6] It is z3 in a triplet (x,y,z) such that x5 + y2 = z3.[citation needed] It is also a strong Friedman number.[7]
Since 343 reversed is 343, it is a palindrome number.[1] Since it is also an economical number, it is the smallest economical palindrome.[8][3]
In other fields
[edit]On September 11, 2001, By 10:28 a.m. (ET), the South Tower and North Tower of the World Trade Center in New York collapsed. Because of that, a total of 343 New York City firefighters died from the emergency.[9]
The Woodside Cotton Mill Village Historic District contains a total of 343 surviving mill houses.[10]
References
[edit]- 1 2 Vanovschi, Vitalii. "Properties of the number 343". www.numberempire.com. Retrieved 2026-08-23.
- ↑ Sloane, N. J. A. (ed.). "Sequence A001694 (Powerful numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- 1 2 Sloane, N. J. A. (ed.). "Sequence A046759 (Economical numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ↑ "A080035 - OEIS". oeis.org. Retrieved 2026-06-16.
- ↑ Gupta, Shyam Sunder (2025-03-07). Exploring the Beauty of Fascinating Numbers. Springer Nature. ISBN 978-981-97-2465-9.
- ↑ Cohen, Henri (2007). Number Theory. Graduate Texts in Mathematics. Vol. 240. New York, NY: Springer New York. doi:10.1007/978-0-387-49894-2. ISBN 978-0-387-49893-5. ISSN 0072-5285.
- ↑ Friedman, Erich. "What's Special About This Number?". Retrieved 2026-09-06.
- ↑ Khovanova, Tanya. "Unique Properties of 343". Number Gossip. Retrieved 2026-09-06.
- ↑ tloewy@qctimes.com, TOM LOEWY (2026-09-06). "Retired Rock Island Deputy Fire Chief traces 9/11's lasting impacts for firefighters". Dispatch Argus. Retrieved 2026-09-07.
- ↑ "SCDAH". www.nationalregister.sc.gov. Retrieved 2026-09-07.
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