Number

1,350

1,350 is a composite number, even, a calendar year.

1,350 (one thousand three hundred fifty) is an even 4-digit number. It is a composite number with 24 divisors, and factors as 2 × 3³ × 5². Its proper divisors sum to 2,370, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MCCCL and in binary, 10101000110.

Abundant Number Arithmetic Number Gapful Number Harshad / Niven Nonagonal Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number Year

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

1,338 1,339 1,340 1,341 1,342 1,343 1,344 1,345 1,346 1,347 1,348 1,349 1,350 1,351 1,352 1,353 1,354 1,355 1,356 1,357 1,358 1,359 1,360 1,361 1,362

less more

Historical context — 1350 AD

Calendar year

Year 1350 (MCCCL) was a common 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: Common year
Standard 365-day year; not divisible by 4 (or divisible by 100 but not 400).
Days in year: 365
ISO weeks: 53
Long year: contains 53 ISO weeks.
Started on: Thursday
January 1, 1350
Ended on: Thursday
December 31, 1350
Friday the 13ths: 3
3 Friday the 13ths this year.
Decade: 1350s
1350–1359
Century: 14th century
1301–1400
Millennium: 2nd millennium
1001–2000
Years ago: 676
676 years before 2026.

In other calendars

Hebrew: 5110 / 5111 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 750 / 751 AH
Lunar calendar; year spans differ from Gregorian.
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: 1893 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 728 / 729 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1342 / 1343 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1272 / 1271 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 4
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 11 bits
Reversed: 531
Recamán's sequence: a(16,435) = 1,350
Square (n²): 1,822,500
Cube (n³): 2,460,375,000
Divisor count: 24
σ(n) — sum of divisors: 3,720
φ(n) — Euler's totient: 360
Sum of prime factors: 21

Primality

Prime factorization: 2 × 3 ³ × 5 ²

Nearest primes: 1,327 (−23) · 1,361 (+11)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 5 · 6 · 9 · 10 · 15 · 18 · 25 · 27 · 30 · 45 · 50 · 54 · 75 · 90 · 135 · 150 · 225 · 270 · 450 · 675 (half) · 1350

Aliquot sum (sum of proper divisors): 2,370

Factor pairs (a × b = 1,350)

1 × 1350

2 × 675

3 × 450

5 × 270

6 × 225

9 × 150

10 × 135

15 × 90

18 × 75

25 × 54

27 × 50

30 × 45

First multiples

1,350 · 2,700 (double) · 4,050 · 5,400 · 6,750 · 8,100 · 9,450 · 10,800 · 12,150 · 13,500

Sums & aliquot sequence

As consecutive integers: 449 + 450 + 451 336 + 337 + 338 + 339 268 + 269 + 270 + 271 + 272 146 + 147 + … + 154

Aliquot sequence: 1,350 → 2,370 → 3,390 → 4,818 → 5,838 → 7,602 → 9,870 → 17,778 → 17,790 → 24,978 → 27,438 → 30,882 → 30,894 → 34,386 → 40,782 → 52,530 → 82,254 — unresolved within range

Continued fraction of √n

√1,350 = [36; (1, 2, 1, 7, 2, 2, 2, 7, 1, 2, 1, 72)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words: one thousand three hundred fifty
Ordinal: 1350th
Roman numeral: MCCCL
Binary: 10101000110
Octal: 2506
Hexadecimal: 0x546
Base64: BUY=
One's complement: 64,185 (16-bit)
Scientific notation: 1.35 × 10³
As a duration: 1,350 s = 22 minutes, 30 seconds

In other bases

ternary (3) 1212000

quaternary (4) 111012

quinary (5) 20400

senary (6) 10130

septenary (7) 3636

nonary (9) 1760

undecimal (11) 1018

duodecimal (12) 946

tridecimal (13) 7cb

tetradecimal (14) 6c6

pentadecimal (15) 600

Palindromic in base 14

As an angle

1,350° = 3 × 360° + 270°

270° ≈ 4.712 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆
Greek (Milesian): ͵ατνʹ
Mayan (base 20): 𝋣·𝋧·𝋪
Chinese: 一千三百五十
Chinese (financial): 壹仟參佰伍拾

In other modern scripts

Eastern Arabic ١٣٥٠ Devanagari १३५० Bengali ১৩৫০ Tamil ௧௩௫௦ Thai ๑๓๕๐ Tibetan ༡༣༥༠ Khmer ១៣៥០ Lao ໑໓໕໐ Burmese ၁၃၅၀

Digit at this position in famous constants

π — Pi (π): Digit 1,350 = 1
e — Euler's number (e): Digit 1,350 = 2
φ — Golden ratio (φ): Digit 1,350 = 7
√2 — Pythagoras's (√2): Digit 1,350 = 3
ln 2 — Natural log of 2: Digit 1,350 = 6
γ — Euler-Mascheroni (γ): Digit 1,350 = 2

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1350, here are decompositions:

23 + 1327 = 1350
29 + 1321 = 1350
31 + 1319 = 1350
43 + 1307 = 1350
47 + 1303 = 1350
53 + 1297 = 1350
59 + 1291 = 1350
61 + 1289 = 1350

Showing the first eight; more decompositions exist.

Unicode codepoint

Armenian Capital Letter Now

U+0546

Uppercase letter (Lu)

UTF-8 encoding: D5 86 (2 bytes).

Lookup U+0546 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000546

RGB(0, 5, 70)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.5.70.

Address: 0.0.5.70
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.5.70

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

Musical pitch

Heard as a frequency, 1,350 Hz is closest to:

Concert pitch (A4 = 440 Hz): E6 (1318.5 Hz, +41¢)
Scientific pitch (C4 = 256 Hz): F6 (1366.9 Hz, -22¢)
Baroque pitch (A4 = 415 Hz): F6 (1317.5 Hz, +42¢)

Position in π

The digit sequence 1350 first appears in π at position 12,198 of the decimal expansion (the 12,198ordinal-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 1350 on Pi Search ↗