Number

330

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

330 (three hundred thirty) is an even 3-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 5 × 11. Its proper divisors sum to 534, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is CCCXXX and in binary, 101001010.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Harshad / Niven Pentagonal Pentatope Number Practical Number Preferred Number Recamán's Sequence Semiperfect Number Squarefree Year

Interestingness

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11 notable facts · grade A

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Notable events — 330 AD

May 11 Constantine dedicates his new capital, Constantinople.

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

Historical context — 330 BC

Calendar year

Year 330 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: Wednesday
January 1, 330
Ended on: Wednesday
December 31, 330
Friday the 13ths: 1
One Friday the 13th this year.
Decade: 330s
330–339
Century: 4th century
301–400
Millennium: 1st millennium
1–1000
Years ago: 1,696
1696 years before 2026.

In other calendars

Hebrew: 4090 / 4091 AM
Rosh Hashanah falls in September/October.
Chinese: Year of the zodiac:Metal zodiac:Tiger
Sexagenary cycle position 27 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 873 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian: 322 / 323 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 252 / 251 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 3
Digit sum: 6
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 9 bits
Reversed: 33
Recamán's sequence: a(588) = 330
Square (n²): 108,900
Cube (n³): 35,937,000
Divisor count: 16
σ(n) — sum of divisors: 864
φ(n) — Euler's totient: 80
Sum of prime factors: 21

Primality

Prime factorization: 2 × 3 × 5 × 11

Nearest primes: 317 (−13) · 331 (+1)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 5 · 6 · 10 · 11 · 15 · 22 · 30 · 33 · 55 · 66 · 110 · 165 (half) · 330

Aliquot sum (sum of proper divisors): 534

Factor pairs (a × b = 330)

1 × 330

2 × 165

3 × 110

5 × 66

6 × 55

10 × 33

11 × 30

15 × 22

First multiples

330 · 660 (double) · 990 · 1,320 · 1,650 · 1,980 · 2,310 · 2,640 · 2,970 · 3,300

Sums & aliquot sequence

As consecutive integers: 109 + 110 + 111 81 + 82 + 83 + 84 64 + 65 + 66 + 67 + 68 25 + 26 + … + 35

Aliquot sequence: 330 → 534 → 546 → 798 → 1,122 → 1,470 → 2,634 → 2,646 → 4,194 → 4,932 → 7,626 → 8,502 → 9,978 → 9,990 → 17,370 → 28,026 → 35,136 — unresolved within range

Continued fraction of √n

√330 = [18; (6, 36)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: three hundred thirty
Ordinal: 330th
Roman numeral: CCCXXX
Binary: 101001010
Octal: 512
Hexadecimal: 0x14A
Base64: AUo=
One's complement: 65,205 (16-bit)
Scientific notation: 3.3 × 10²
As a duration: 330 s = 5 minutes, 30 seconds

In other bases

ternary (3) 110020

quaternary (4) 11022

quinary (5) 2310

senary (6) 1310

septenary (7) 651

nonary (9) 406

undecimal (11) 280

duodecimal (12) 236

tridecimal (13) 1c5

tetradecimal (14) 198

pentadecimal (15) 170

As an angle

330°

330° ≈ 5.76 rad

Compass bearing: NNW (north-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic: 𓍢𓍢𓍢𓎆𓎆𓎆
Greek (Milesian): τλʹ
Mayan (base 20): 𝋰·𝋪
Chinese: 三百三十
Chinese (financial): 參佰參拾

In other modern scripts

Eastern Arabic ٣٣٠ Devanagari ३३० Bengali ৩৩০ Tamil ௩௩௦ Thai ๓๓๐ Tibetan ༣༣༠ Khmer ៣៣០ Lao ໓໓໐ Burmese ၃၃၀

Digit at this position in famous constants

π — Pi (π): Digit 330 = 2
e — Euler's number (e): Digit 330 = 0
φ — Golden ratio (φ): Digit 330 = 6
√2 — Pythagoras's (√2): Digit 330 = 1
ln 2 — Natural log of 2: Digit 330 = 4
γ — Euler-Mascheroni (γ): Digit 330 = 2

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 330, here are decompositions:

13 + 317 = 330
17 + 313 = 330
19 + 311 = 330
23 + 307 = 330
37 + 293 = 330
47 + 283 = 330
53 + 277 = 330
59 + 271 = 330

Showing the first eight; more decompositions exist.

Unicode codepoint

Latin Capital Letter Eng

U+014A

Uppercase letter (Lu)

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

Lookup U+014A on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#00014A

RGB(0, 1, 74)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.1.74.

Address: 0.0.1.74
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.1.74

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

NANP area code 330

The number 330 is an active NANP area code (North American Numbering Plan).

Primary area: Akron / Canton
Region: Ohio
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 330 ↗

Musical pitch

Heard as a frequency, 330 Hz is closest to:

Concert pitch (A4 = 440 Hz): E4 (329.6 Hz, +2¢)
Scientific pitch (C4 = 256 Hz): E4 (322.5 Hz, +40¢)
Baroque pitch (A4 = 415 Hz): F4 (329.4 Hz, +3¢)

Food additive (E-number)

On an ingredients label, E330 is Citric acid, an antioxidant or acidity regulator — the most-used food acid, the sourness of citrus.

E-number reference (Wikipedia) ↗