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Number

1,330

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

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

Historical context — 1330 AD

Calendar year

Year 1330 (MCCCXXX) was a common year starting on Monday of the Julian calendar.

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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

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)
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

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
Բ
Armenian Capital Letter Ben
U+0532
Uppercase letter (Lu)

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

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.

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.