340
340 is a composite number, even, a calendar year.
340 (three hundred forty) is an even 3-digit number. It is a composite number with 12 divisors, and factors as 2² × 5 × 17. Its proper divisors sum to 416, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is CCCXL and in binary, 101010100.
Interestingness
Historical context — 340 AD
Calendar year
Year 340 (CCCXL) was a leap year starting on Tuesday of the Julian calendar.
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Historical context — 340 BC
Calendar year
Year 340 BC was a year of the pre-Julian Roman calendar.
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Year facts
- Year type
-
Leap year
Divisible by 4 and not by 100; February has 29 days.
- Days in year
- 366
- ISO weeks
- 52
- Started on
-
Monday
January 1, 340
- Ended on
-
Tuesday
December 31, 340
- Friday the 13ths
-
2
2 Friday the 13ths this year.
- Decade
-
340s
340–349
- Century
-
4th century
301–400
- Millennium
-
1st millennium
1–1000
- Years ago
-
1,686
1686 years before 2026.
In other calendars
- Hebrew
-
4100 / 4101 AM
Rosh Hashanah falls in September/October.
- Chinese
-
Year of the zodiac:Metal zodiac:Rat
Sexagenary cycle position 37 of 60. Lunar new year falls in late January / mid-February.
- Buddhist Era
-
883 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
- Ethiopian
-
332 / 333 ET
Year boundary at Enkutatash (September 11/12).
- Indian National (Saka)
-
262 / 261 Saka
Indian national calendar; year starts in March.
Properties
Primality
Prime factorization: 2 2 × 5 × 17
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√340 = [18; (2, 3, 1, 1, 1, 1, 8, 1, 1, 1, 1, 3, 2, 36)]
Period length 14 — the block in parentheses repeats forever.
Representations
- In words
- three hundred forty
- Ordinal
- 340th
- Roman numeral
- CCCXL
- Binary
- 101010100
- Octal
- 524
- Hexadecimal
- 0x154
- Base64
- AVQ=
- One's complement
- 65,195 (16-bit)
- Scientific notation
- 3.4 × 10²
- As a duration
- 340 s = 5 minutes, 40 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
- Egyptian hieroglyphic
- 𓍢𓍢𓍢𓎆𓎆𓎆𓎆
- Greek (Milesian)
- τμʹ
- Mayan (base 20)
- 𝋱·𝋠
- Chinese
- 三百四十
- Chinese (financial)
- 參佰肆拾
Digit at this position in famous constants
- π — Pi (π)
- Digit 340 = 4
- e — Euler's number (e)
- Digit 340 = 3
- φ — Golden ratio (φ)
- Digit 340 = 9
- √2 — Pythagoras's (√2)
- Digit 340 = 5
- ln 2 — Natural log of 2
- Digit 340 = 8
- γ — Euler-Mascheroni (γ)
- Digit 340 = 9
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 340, here are decompositions:
- 3 + 337 = 340
- 23 + 317 = 340
- 29 + 311 = 340
- 47 + 293 = 340
- 59 + 281 = 340
- 71 + 269 = 340
- 83 + 257 = 340
- 89 + 251 = 340
Showing the first eight; more decompositions exist.
UTF-8 encoding: C5 94 (2 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.1.84.
- Address
- 0.0.1.84
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.1.84
Unspecified address (0.0.0.0/8) — "this network" placeholder.
The number 340 is an active NANP area code (North American Numbering Plan).
- Primary area
- Statewide
- Region
- U.S. Virgin Islands
- 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, 340 Hz is closest to:
- Concert pitch (A4 = 440 Hz): F4 (349.2 Hz, -46¢ — about midway to E4)
- Scientific pitch (C4 = 256 Hz): F4 (341.7 Hz, -9¢)
- Baroque pitch (A4 = 415 Hz): F♯4 (349 Hz, -45¢ — about midway to F4)
Related reading
- Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.