Number

1,328

1,328 is a composite number, even, a calendar year.

1,328 (one thousand three hundred twenty-eight) is an even 4-digit number. It is a composite number with 10 divisors, and factors as 2⁴ × 83. Written other ways, in Roman numerals it is MCCCXXVIII and in binary, 10100110000.

Deficient Number Evil Number Recamán's Sequence Year

Interestingness

★ ☆ ☆ ☆ ☆

1 notable fact · grade F

1,316 1,317 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

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Historical context — 1328 AD

Calendar year

Year 1328 (MCCCXXVIII) was a leap year starting on Friday of the Julian calendar.

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

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: Thursday
January 1, 1328
Ended on: Friday
December 31, 1328
Friday the 13ths: 2
2 Friday the 13ths this year.
Decade: 1320s
1320–1329
Century: 14th century
1301–1400
Millennium: 2nd millennium
1001–2000
Years ago: 698
698 years before 2026.

In other calendars

Hebrew: 5088 / 5089 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 728 / 729 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Earth zodiac:Dragon
Sexagenary cycle position 5 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1871 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 706 / 707 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1320 / 1321 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1250 / 1249 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 4
Digit sum: 14
Digit product: 48
Digital root: 5
Palindrome: No
Bit width: 11 bits
Reversed: 8,231
Recamán's sequence: a(16,479) = 1,328
Square (n²): 1,763,584
Cube (n³): 2,342,039,552
Divisor count: 10
σ(n) — sum of divisors: 2,604
φ(n) — Euler's totient: 656
Sum of prime factors: 91

Primality

Prime factorization: 2 ⁴ × 83

Nearest primes: 1,327 (−1) · 1,361 (+33)

Divisors & multiples

All divisors (10)

1 · 2 · 4 · 8 · 16 · 83 · 166 · 332 · 664 (half) · 1328

Aliquot sum (sum of proper divisors): 1,276

Factor pairs (a × b = 1,328)

1 × 1328

2 × 664

4 × 332

8 × 166

16 × 83

First multiples

1,328 · 2,656 (double) · 3,984 · 5,312 · 6,640 · 7,968 · 9,296 · 10,624 · 11,952 · 13,280

Sums & aliquot sequence

As consecutive integers: 26 + 27 + … + 57

Aliquot sequence: 1,328 → 1,276 → 1,244 → 940 → 1,076 → 814 → 554 → 280 → 440 → 640 → 890 → 730 → 602 → 454 → 230 → 202 → 104 — unresolved within range

Continued fraction of √n

√1,328 = [36; (2, 3, 1, 3, 1, 3, 2, 72)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words: one thousand three hundred twenty-eight
Ordinal: 1328th
Roman numeral: MCCCXXVIII
Binary: 10100110000
Octal: 2460
Hexadecimal: 0x530
Base64: BTA=
One's complement: 64,207 (16-bit)
Scientific notation: 1.328 × 10³
As a duration: 1,328 s = 22 minutes, 8 seconds

In other bases

ternary (3) 1211012

quaternary (4) 110300

quinary (5) 20303

senary (6) 10052

septenary (7) 3605

nonary (9) 1735

undecimal (11) aa8

duodecimal (12) 928

tridecimal (13) 7b2

tetradecimal (14) 6ac

pentadecimal (15) 5d8

As an angle

1,328° = 3 × 360° + 248°

248° ≈ 4.328 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ατκηʹ
Mayan (base 20): 𝋣·𝋦·𝋨
Chinese: 一千三百二十八
Chinese (financial): 壹仟參佰貳拾捌

In other modern scripts

Eastern Arabic ١٣٢٨ Devanagari १३२८ Bengali ১৩২৮ Tamil ௧௩௨௮ Thai ๑๓๒๘ Tibetan ༡༣༢༨ Khmer ១៣២៨ Lao ໑໓໒໘ Burmese ၁၃၂၈

Digit at this position in famous constants

π — Pi (π): Digit 1,328 = 0
e — Euler's number (e): Digit 1,328 = 4
φ — Golden ratio (φ): Digit 1,328 = 2
√2 — Pythagoras's (√2): Digit 1,328 = 1
ln 2 — Natural log of 2: Digit 1,328 = 8
γ — Euler-Mascheroni (γ): Digit 1,328 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1328, here are decompositions:

7 + 1321 = 1328
31 + 1297 = 1328
37 + 1291 = 1328
79 + 1249 = 1328
97 + 1231 = 1328
127 + 1201 = 1328
157 + 1171 = 1328
199 + 1129 = 1328

Showing the first eight; more decompositions exist.

Hex color

#000530

RGB(0, 5, 48)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.5.48.

Address: 0.0.5.48
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.5.48

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

Musical pitch

Heard as a frequency, 1,328 Hz is closest to:

Concert pitch (A4 = 440 Hz): E6 (1318.5 Hz, +12¢)
Scientific pitch (C4 = 256 Hz): F6 (1366.9 Hz, -50¢ — about midway to E6)
Baroque pitch (A4 = 415 Hz): F6 (1317.5 Hz, +14¢)

Position in π

The digit sequence 1328 first appears in π at position 110 of the decimal expansion (the 110ordinal-suffix:th 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 1328 on Pi Search ↗