Number

342

342 is a composite number, even, a calendar year.

342 (three hundred forty-two) is an even 3-digit number. It is a composite number with 12 divisors, and factors as 2 × 3² × 19. Its proper divisors sum to 438, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is CCCXLII and in binary, 101010110.

Abundant Number Arithmetic Number Cube-Free Harshad / Niven Heptagonal Odious Number Pernicious Number Practical Number Pronic / Oblong Recamán's Sequence Semiperfect Number Year

Interestingness

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8 notable facts · grade A

330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354

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Historical context — 342 AD

Calendar year

Year 342 (CCCXLII) was a common year starting on Friday of the Julian calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 Read the full article on Wikipedia →

Historical context — 342 BC

Calendar year

Year 342 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: 53
Long year: contains 53 ISO weeks.
Started on: Thursday
January 1, 342
Ended on: Thursday
December 31, 342
Friday the 13ths: 3
3 Friday the 13ths this year.
Decade: 340s
340–349
Century: 4th century
301–400
Millennium: 1st millennium
1–1000
Years ago: 1,684
1684 years before 2026.

In other calendars

Hebrew: 4102 / 4103 AM
Rosh Hashanah falls in September/October.
Chinese: Year of the zodiac:Water zodiac:Tiger
Sexagenary cycle position 39 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 885 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian: 334 / 335 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 264 / 263 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 3
Digit sum: 9
Digit product: 24
Digital root: 9
Palindrome: No
Bit width: 9 bits
Reversed: 243
Recamán's sequence: a(564) = 342
Square (n²): 116,964
Cube (n³): 40,001,688
Divisor count: 12
σ(n) — sum of divisors: 780
φ(n) — Euler's totient: 108
Sum of prime factors: 27

Primality

Prime factorization: 2 × 3 ² × 19

Nearest primes: 337 (−5) · 347 (+5)

Divisors & multiples

All divisors (12)

1 · 2 · 3 · 6 · 9 · 18 · 19 · 38 · 57 · 114 · 171 (half) · 342

Aliquot sum (sum of proper divisors): 438

Factor pairs (a × b = 342)

1 × 342

2 × 171

3 × 114

6 × 57

9 × 38

18 × 19

First multiples

342 · 684 (double) · 1,026 · 1,368 · 1,710 · 2,052 · 2,394 · 2,736 · 3,078 · 3,420

Sums & aliquot sequence

As consecutive integers: 113 + 114 + 115 84 + 85 + 86 + 87 34 + 35 + … + 42 23 + 24 + … + 34

Aliquot sequence: 342 → 438 → 450 → 759 → 393 → 135 → 105 → 87 → 33 → 15 → 9 → 4 → 3 → 1 → 0 — terminates at zero

Continued fraction of √n

√342 = [18; (2, 36)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: three hundred forty-two
Ordinal: 342nd
Roman numeral: CCCXLII
Binary: 101010110
Octal: 526
Hexadecimal: 0x156
Base64: AVY=
One's complement: 65,193 (16-bit)
Scientific notation: 3.42 × 10²
As a duration: 342 s = 5 minutes, 42 seconds

In other bases

ternary (3) 110200

quaternary (4) 11112

quinary (5) 2332

senary (6) 1330

septenary (7) 666

nonary (9) 420

undecimal (11) 291

duodecimal (12) 246

tridecimal (13) 204

tetradecimal (14) 1a6

pentadecimal (15) 17c

Palindromic in base 5, base 7

As an angle

342°

342° ≈ 5.969 rad

Compass bearing: NNW (north-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): τμβʹ
Mayan (base 20): 𝋱·𝋢
Chinese: 三百四十二
Chinese (financial): 參佰肆拾貳

In other modern scripts

Eastern Arabic ٣٤٢ Devanagari ३४२ Bengali ৩৪২ Tamil ௩௪௨ Thai ๓๔๒ Tibetan ༣༤༢ Khmer ៣៤២ Lao ໓໔໒ Burmese ၃၄၂

Digit at this position in famous constants

π — Pi (π): Digit 342 = 9
e — Euler's number (e): Digit 342 = 2
φ — Golden ratio (φ): Digit 342 = 7
√2 — Pythagoras's (√2): Digit 342 = 5
ln 2 — Natural log of 2: Digit 342 = 7
γ — Euler-Mascheroni (γ): Digit 342 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 342, here are decompositions:

5 + 337 = 342
11 + 331 = 342
29 + 313 = 342
31 + 311 = 342
59 + 283 = 342
61 + 281 = 342
71 + 271 = 342
73 + 269 = 342

Showing the first eight; more decompositions exist.

Unicode codepoint

Latin Capital Letter R With Cedilla

U+0156

Uppercase letter (Lu)

UTF-8 encoding: C5 96 (2 bytes).

Lookup U+0156 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000156

RGB(0, 1, 86)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.1.86.

Address: 0.0.1.86
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.1.86

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Musical pitch

Heard as a frequency, 342 Hz is closest to:

Concert pitch (A4 = 440 Hz): F4 (349.2 Hz, -36¢)
Scientific pitch (C4 = 256 Hz): F4 (341.7 Hz, +1¢)
Baroque pitch (A4 = 415 Hz): F♯4 (349 Hz, -35¢)