Number

1,345

1,345 is a composite number, odd, a calendar year.

Arithmetic Number Ascending Digits Deficient Number Evil Number Recamán's Sequence Semiprime Squarefree Year

Historical context — 1345 AD

Calendar year

Year 1345 (MCCCXLV) was a common year starting on Saturday 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: Friday
January 1, 1345
Ended on: Friday
December 31, 1345
Friday the 13ths: 1
One Friday the 13th this year.
Decade: 1340s
1340–1349
Century: 14th century
1301–1400
Millennium: 2nd millennium
1001–2000
Years ago: 681
681 years before 2026.

In other calendars

Hebrew: 5105 / 5106 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 745 / 746 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Wood zodiac:Rooster
Sexagenary cycle position 22 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1888 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 723 / 724 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1337 / 1338 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1267 / 1266 Saka
Indian national calendar; year starts in March.

Properties

Parity: Odd
Digit count: 4
Digit sum: 13
Digit product: 60
Digital root: 4
Palindrome: No
Bit width: 11 bits
Reversed: 5,431
Recamán's sequence: a(16,445) = 1,345
Square (n²): 1,809,025
Cube (n³): 2,433,138,625
Divisor count: 4
σ(n) — sum of divisors: 1,620
φ(n) — Euler's totient: 1,072
Sum of prime factors: 274

Primality

Prime factorization: 5 × 269

Nearest primes: 1,327 (−18) · 1,361 (+16)

Divisors & multiples

All divisors (4)

1 · 5 · 269 · 1345

Aliquot sum (sum of proper divisors): 275

Factor pairs (a × b = 1,345)

1 × 1345

5 × 269

First multiples

1,345 · 2,690 (double) · 4,035 · 5,380 · 6,725 · 8,070 · 9,415 · 10,760 · 12,105 · 13,450

Sums & aliquot sequence

As a sum of two squares: 7² + 36² = 16² + 33²

As consecutive integers: 672 + 673 267 + 268 + 269 + 270 + 271 130 + 131 + … + 139

Aliquot sequence: 1,345 → 275 → 97 → 1 → 0 — terminates at zero

Representations

In words: one thousand three hundred forty-five
Ordinal: 1345th
Roman numeral: MCCCXLV
Binary: 10101000001
Octal: 2501
Hexadecimal: 0x541
Base64: BUE=
One's complement: 64,190 (16-bit)

In other bases

ternary (3) 1211211

quaternary (4) 111001

quinary (5) 20340

senary (6) 10121

septenary (7) 3631

nonary (9) 1754

undecimal (11) 1013

duodecimal (12) 941

tridecimal (13) 7c6

tetradecimal (14) 6c1

pentadecimal (15) 5ea

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ατμεʹ
Mayan (base 20): 𝋣·𝋧·𝋥
Chinese: 一千三百四十五
Chinese (financial): 壹仟參佰肆拾伍

In other modern scripts

Eastern Arabic ١٣٤٥ Devanagari १३४५ Bengali ১৩৪৫ Tamil ௧௩௪௫ Thai ๑๓๔๕ Tibetan ༡༣༤༥ Khmer ១៣៤៥ Lao ໑໓໔໕ Burmese ၁၃၄၅

Digit at this position in famous constants

π — Pi (π): Digit 1,345 = 0
e — Euler's number (e): Digit 1,345 = 2
φ — Golden ratio (φ): Digit 1,345 = 9
√2 — Pythagoras's (√2): Digit 1,345 = 1
ln 2 — Natural log of 2: Digit 1,345 = 7
γ — Euler-Mascheroni (γ): Digit 1,345 = 2

Also seen as

Unicode codepoint

Armenian Capital Letter Ja

U+0541

Uppercase letter (Lu)

UTF-8 encoding: D5 81 (2 bytes).

Lookup U+0541 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000541

RGB(0, 5, 65)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.5.65.

Address: 0.0.5.65
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.5.65

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

Position in π

The digit sequence 1345 first appears in π at position 9,392 of the decimal expansion (the 9,392ordinal-suffix:nd 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 1345 on Pi Search ↗