351
351 is a composite number, odd, a calendar year.
351 (three hundred fifty-one) is an odd 3-digit number. It is a composite number with 8 divisors, and factors as 3³ × 13. It is the 26th triangular number. Written other ways, in Roman numerals it is CCCLI and in binary, 101011111.
Interestingness
Historical context — 351 AD
Calendar year
Year 351 (CCCLI) was a common year starting on Tuesday of the Julian calendar.
Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 Read the full article on Wikipedia →
Historical context — 351 BC
Calendar year
Year 351 BC was a year of the pre-Julian Roman calendar.
Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 Read the full article on Wikipedia →
Year facts
- Year type
-
Common year
Standard 365-day year; not divisible by 4 (or divisible by 100 but not 400).
- Days in year
- 365
- ISO weeks
- 52
- Started on
-
Monday
January 1, 351
- Ended on
-
Monday
December 31, 351
- Friday the 13ths
-
2
2 Friday the 13ths this year.
- Decade
-
350s
350–359
- Century
-
4th century
301–400
- Millennium
-
1st millennium
1–1000
- Years ago
-
1,675
1675 years before 2026.
In other calendars
- Hebrew
-
4111 / 4112 AM
Rosh Hashanah falls in September/October.
- Chinese
-
Year of the zodiac:Metal zodiac:Pig
Sexagenary cycle position 48 of 60. Lunar new year falls in late January / mid-February.
- Buddhist Era
-
894 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
- Ethiopian
-
343 / 344 ET
Year boundary at Enkutatash (September 11/12).
- Indian National (Saka)
-
273 / 272 Saka
Indian national calendar; year starts in March.
Properties
Primality
Prime factorization: 3 3 × 13
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√351 = [18; (1, 2, 1, 3, 2, 2, 2, 3, 1, 2, 1, 36)]
Period length 12 — the block in parentheses repeats forever.
Representations
- In words
- three hundred fifty-one
- Ordinal
- 351st
- Roman numeral
- CCCLI
- Binary
- 101011111
- Octal
- 537
- Hexadecimal
- 0x15F
- Base64
- AV8=
- One's complement
- 65,184 (16-bit)
- Scientific notation
- 3.51 × 10²
- As a duration
- 351 s = 5 minutes, 51 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹
- Egyptian hieroglyphic
- 𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺
- Greek (Milesian)
- τναʹ
- Mayan (base 20)
- 𝋱·𝋫
- Chinese
- 三百五十一
- Chinese (financial)
- 參佰伍拾壹
Digit at this position in famous constants
- π — Pi (π)
- Digit 351 = 6
- e — Euler's number (e)
- Digit 351 = 0
- φ — Golden ratio (φ)
- Digit 351 = 1
- √2 — Pythagoras's (√2)
- Digit 351 = 8
- ln 2 — Natural log of 2
- Digit 351 = 5
- γ — Euler-Mascheroni (γ)
- Digit 351 = 0
Also seen as
UTF-8 encoding: C5 9F (2 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.1.95.
- Address
- 0.0.1.95
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.1.95
Unspecified address (0.0.0.0/8) — "this network" placeholder.
The number 351 is an active NANP area code (North American Numbering Plan).
- Primary area
- Northeastern Massachusetts
- Region
- Massachusetts
- Country
- United States
Most NANP area codes have multiple overlays in dense regions; the primary area listed is the historic/largest population center for this code.
Heard as a frequency, 351 Hz is closest to:
- Concert pitch (A4 = 440 Hz): F4 (349.2 Hz, +9¢)
- Scientific pitch (C4 = 256 Hz): F4 (341.7 Hz, +46¢ — about midway to F♯4)
- Baroque pitch (A4 = 415 Hz): F♯4 (349 Hz, +10¢)
Related reading
- Triangular numbers — 1, 3, 6, 10, 15 … the counting numbers stacked into triangles, and Gauss's famous shortcut for summing them.
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.