Number

1,330

1,330 is a composite number, even, a calendar year.

1,330 (one thousand three hundred thirty) is an even 4-digit number. It is a composite number with 16 divisors, and factors as 2 × 5 × 7 × 19. Its proper divisors sum to 1,550, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MCCCXXX and in binary, 10100110010.

Abundant Number Arithmetic Number Cube-Free Gapful Number Happy Number Harshad / Niven Odious Number Pernicious Number Recamán's Sequence Semiperfect Number Squarefree Tetrahedral Year

Interestingness

★ ★ ★ ★ ★

9 notable facts · grade A

1,318 1,319 1,320 1,321 1,322 1,323 1,324 1,325 1,326 1,327 1,328 1,329 1,330 1,331 1,332 1,333 1,334 1,335 1,336 1,337 1,338 1,339 1,340 1,341 1,342

less more

Historical context — 1330 AD

Calendar year

Year 1330 (MCCCXXX) was a common year starting on Monday of the Julian 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: Sunday
January 1, 1330
Ended on: Sunday
December 31, 1330
Friday the 13ths: 2
2 Friday the 13ths this year.
Decade: 1330s
1330–1339
Century: 14th century
1301–1400
Millennium: 2nd millennium
1001–2000
Years ago: 696
696 years before 2026.

In other calendars

Hebrew: 5090 / 5091 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 730 / 731 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Metal zodiac:Horse
Sexagenary cycle position 7 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1873 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 708 / 709 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1322 / 1323 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1252 / 1251 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 4
Digit sum: 7
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 11 bits
Reversed: 331
Recamán's sequence: a(16,475) = 1,330
Square (n²): 1,768,900
Cube (n³): 2,352,637,000
Divisor count: 16
σ(n) — sum of divisors: 2,880
φ(n) — Euler's totient: 432
Sum of prime factors: 33

Primality

Prime factorization: 2 × 5 × 7 × 19

Nearest primes: 1,327 (−3) · 1,361 (+31)

Divisors & multiples

All divisors (16)

1 · 2 · 5 · 7 · 10 · 14 · 19 · 35 · 38 · 70 · 95 · 133 · 190 · 266 · 665 (half) · 1330

Aliquot sum (sum of proper divisors): 1,550

Factor pairs (a × b = 1,330)

1 × 1330

2 × 665

5 × 266

7 × 190

10 × 133

14 × 95

19 × 70

35 × 38

First multiples

1,330 · 2,660 (double) · 3,990 · 5,320 · 6,650 · 7,980 · 9,310 · 10,640 · 11,970 · 13,300

Sums & aliquot sequence

As consecutive integers: 331 + 332 + 333 + 334 264 + 265 + 266 + 267 + 268 187 + 188 + … + 193 61 + 62 + … + 79

Aliquot sequence: 1,330 → 1,550 → 1,426 → 878 → 442 → 314 → 160 → 218 → 112 → 136 → 134 → 70 → 74 → 40 → 50 → 43 → 1 — unresolved within range

Continued fraction of √n

√1,330 = [36; (2, 7, 1, 1, 1, 1, 4, 1, 1, 1, 1, 7, 2, 72)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words: one thousand three hundred thirty
Ordinal: 1330th
Roman numeral: MCCCXXX
Binary: 10100110010
Octal: 2462
Hexadecimal: 0x532
Base64: BTI=
One's complement: 64,205 (16-bit)
Scientific notation: 1.33 × 10³
As a duration: 1,330 s = 22 minutes, 10 seconds

In other bases

ternary (3) 1211021

quaternary (4) 110302

quinary (5) 20310

senary (6) 10054

septenary (7) 3610

nonary (9) 1737

undecimal (11) aaa

duodecimal (12) 92a

tridecimal (13) 7b4

tetradecimal (14) 6b0

pentadecimal (15) 5da

Palindromic in base 11

As an angle

1,330° = 3 × 360° + 250°

250° ≈ 4.363 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹 𒌋
Egyptian hieroglyphic: 𓆼𓍢𓍢𓍢𓎆𓎆𓎆
Greek (Milesian): ͵ατλʹ
Mayan (base 20): 𝋣·𝋦·𝋪
Chinese: 一千三百三十
Chinese (financial): 壹仟參佰參拾

In other modern scripts

Eastern Arabic ١٣٣٠ Devanagari १३३० Bengali ১৩৩০ Tamil ௧௩௩௦ Thai ๑๓๓๐ Tibetan ༡༣༣༠ Khmer ១៣៣០ Lao ໑໓໓໐ Burmese ၁၃၃၀

Digit at this position in famous constants

π — Pi (π): Digit 1,330 = 6
e — Euler's number (e): Digit 1,330 = 2
φ — Golden ratio (φ): Digit 1,330 = 8
√2 — Pythagoras's (√2): Digit 1,330 = 6
ln 2 — Natural log of 2: Digit 1,330 = 1
γ — Euler-Mascheroni (γ): Digit 1,330 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1330, here are decompositions:

3 + 1327 = 1330
11 + 1319 = 1330
23 + 1307 = 1330
29 + 1301 = 1330
41 + 1289 = 1330
47 + 1283 = 1330
53 + 1277 = 1330
71 + 1259 = 1330

Showing the first eight; more decompositions exist.

Unicode codepoint

Armenian Capital Letter Ben

U+0532

Uppercase letter (Lu)

UTF-8 encoding: D4 B2 (2 bytes).

Lookup U+0532 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000532

RGB(0, 5, 50)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.5.50.

Address: 0.0.5.50
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.5.50

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

Musical pitch

Heard as a frequency, 1,330 Hz is closest to:

Concert pitch (A4 = 440 Hz): E6 (1318.5 Hz, +15¢)
Scientific pitch (C4 = 256 Hz): F6 (1366.9 Hz, -47¢ — about midway to E6)
Baroque pitch (A4 = 415 Hz): F6 (1317.5 Hz, +16¢)

Position in π

The digit sequence 1330 first appears in π at position 363 of the decimal expansion (the 363ordinal-suffix:rd digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Look up 1330 on Pi Search ↗