Number

336

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

336 (three hundred thirty-six) is an even 3-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 3 × 7. Its proper divisors sum to 656, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is CCCXXXVI and in binary, 101010000.

Abundant Number Harshad / Niven Highly Abundant Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number Year

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348

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Historical context — 336 AD

Calendar year

Year 336 (CCCXXXVI) was a leap year starting on Thursday of the Julian calendar.

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

Notable events — 336 BC

Oct 1 Philip II of Macedon is assassinated; his son Alexander succeeds him at age 20.

Events compiled from Wikipedia ↗ · Licensed CC BY-SA 4.0

Year facts

Year type: Leap year
Divisible by 4 and not by 100; February has 29 days.
Days in year: 366
ISO weeks: 53
Long year: contains 53 ISO weeks.
Started on: Wednesday
January 1, 336
Ended on: Thursday
December 31, 336
Friday the 13ths: 2
2 Friday the 13ths this year.
Decade: 330s
330–339
Century: 4th century
301–400
Millennium: 1st millennium
1–1000
Years ago: 1,690
1690 years before 2026.

In other calendars

Hebrew: 4096 / 4097 AM
Rosh Hashanah falls in September/October.
Chinese: Year of the zodiac:Fire zodiac:Monkey
Sexagenary cycle position 33 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 879 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian: 328 / 329 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 258 / 257 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 3
Digit sum: 12
Digit product: 54
Digital root: 3
Palindrome: No
Bit width: 9 bits
Reversed: 633
Recamán's sequence: a(576) = 336
Square (n²): 112,896
Cube (n³): 37,933,056
Divisor count: 20
σ(n) — sum of divisors: 992
φ(n) — Euler's totient: 96
Sum of prime factors: 18

Primality

Prime factorization: 2 ⁴ × 3 × 7

Nearest primes: 331 (−5) · 337 (+1)

Divisors & multiples

All divisors (20)

1 · 2 · 3 · 4 · 6 · 7 · 8 · 12 · 14 · 16 · 21 · 24 · 28 · 42 · 48 · 56 · 84 · 112 · 168 (half) · 336

Aliquot sum (sum of proper divisors): 656

Factor pairs (a × b = 336)

1 × 336

2 × 168

3 × 112

4 × 84

6 × 56

7 × 48

8 × 42

12 × 28

14 × 24

16 × 21

First multiples

336 · 672 (double) · 1,008 · 1,344 · 1,680 · 2,016 · 2,352 · 2,688 · 3,024 · 3,360

Sums & aliquot sequence

As consecutive integers: 111 + 112 + 113 45 + 46 + … + 51 6 + 7 + … + 26

Aliquot sequence: 336 → 656 → 646 → 434 → 334 → 170 → 154 → 134 → 70 → 74 → 40 → 50 → 43 → 1 → 0 — terminates at zero

Continued fraction of √n

√336 = [18; (3, 36)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: three hundred thirty-six
Ordinal: 336th
Roman numeral: CCCXXXVI
Binary: 101010000
Octal: 520
Hexadecimal: 0x150
Base64: AVA=
One's complement: 65,199 (16-bit)
Scientific notation: 3.36 × 10²
As a duration: 336 s = 5 minutes, 36 seconds

In other bases

ternary (3) 110110

quaternary (4) 11100

quinary (5) 2321

senary (6) 1320

septenary (7) 660

nonary (9) 413

undecimal (11) 286

duodecimal (12) 240

tridecimal (13) 1cb

tetradecimal (14) 1a0

pentadecimal (15) 176

As an angle

336°

336° ≈ 5.864 rad

Compass bearing: NNW (north-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): τλϛʹ
Mayan (base 20): 𝋰·𝋰
Chinese: 三百三十六
Chinese (financial): 參佰參拾陸

In other modern scripts

Eastern Arabic ٣٣٦ Devanagari ३३६ Bengali ৩৩৬ Tamil ௩௩௬ Thai ๓๓๖ Tibetan ༣༣༦ Khmer ៣៣៦ Lao ໓໓໖ Burmese ၃၃၆

Digit at this position in famous constants

π — Pi (π): Digit 336 = 2
e — Euler's number (e): Digit 336 = 4
φ — Golden ratio (φ): Digit 336 = 8
√2 — Pythagoras's (√2): Digit 336 = 5
ln 2 — Natural log of 2: Digit 336 = 3
γ — Euler-Mascheroni (γ): Digit 336 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 336, here are decompositions:

5 + 331 = 336
19 + 317 = 336
23 + 313 = 336
29 + 307 = 336
43 + 293 = 336
53 + 283 = 336
59 + 277 = 336
67 + 269 = 336

Showing the first eight; more decompositions exist.

Unicode codepoint

Latin Capital Letter O With Double Acute

U+0150

Uppercase letter (Lu)

UTF-8 encoding: C5 90 (2 bytes).

Lookup U+0150 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000150

RGB(0, 1, 80)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.1.80.

Address: 0.0.1.80
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.1.80

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

NANP area code 336

The number 336 is an active NANP area code (North American Numbering Plan).

Primary area: Greensboro / Winston-Salem
Region: North Carolina
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.

Look up area code 336 ↗

Musical pitch

Heard as a frequency, 336 Hz is closest to:

Concert pitch (A4 = 440 Hz): E4 (329.6 Hz, +33¢)
Scientific pitch (C4 = 256 Hz): F4 (341.7 Hz, -29¢)
Baroque pitch (A4 = 415 Hz): F4 (329.4 Hz, +34¢)