Number

1,356

1,356 is a composite number, even, a calendar year.

1,356 (one thousand three hundred fifty-six) is an even 4-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 113. Its proper divisors sum to 1,836, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MCCCLVI and in binary, 10101001100.

Abundant Number Arithmetic Number Ascending Digits Cube-Free Odious Number Pernicious Number Recamán's Sequence Refactorable Number Semiperfect Number Year

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

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 1,363 1,364 1,365 1,366 1,367 1,368

less more

Notable events — 1356 AD

Sep 19 Edward the Black Prince captures King John II of France at Poitiers.

Events compiled from Wikipedia ↗ · Licensed CC BY-SA 4.0

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, 1356
Ended on: Friday
December 31, 1356
Friday the 13ths: 2
2 Friday the 13ths this year.
Decade: 1350s
1350–1359
Century: 14th century
1301–1400
Millennium: 2nd millennium
1001–2000
Years ago: 670
670 years before 2026.

In other calendars

Hebrew: 5116 / 5117 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 756 / 757 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Fire zodiac:Monkey
Sexagenary cycle position 33 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1899 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 734 / 735 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1348 / 1349 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1278 / 1277 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 4
Digit sum: 15
Digit product: 90
Digital root: 6
Palindrome: No
Bit width: 11 bits
Reversed: 6,531
Recamán's sequence: a(464) = 1,356
Square (n²): 1,838,736
Cube (n³): 2,493,326,016
Divisor count: 12
σ(n) — sum of divisors: 3,192
φ(n) — Euler's totient: 448
Sum of prime factors: 120

Primality

Prime factorization: 2 ² × 3 × 113

Nearest primes: 1,327 (−29) · 1,361 (+5)

Divisors & multiples

All divisors (12)

1 · 2 · 3 · 4 · 6 · 12 · 113 · 226 · 339 · 452 · 678 (half) · 1356

Aliquot sum (sum of proper divisors): 1,836

Factor pairs (a × b = 1,356)

1 × 1356

2 × 678

3 × 452

4 × 339

6 × 226

12 × 113

First multiples

1,356 · 2,712 (double) · 4,068 · 5,424 · 6,780 · 8,136 · 9,492 · 10,848 · 12,204 · 13,560

Sums & aliquot sequence

As consecutive integers: 451 + 452 + 453 166 + 167 + … + 173 45 + 46 + … + 68

Aliquot sequence: 1,356 → 1,836 → 3,204 → 4,986 → 5,856 → 9,768 → 17,592 → 26,448 → 47,952 → 94,586 → 47,296 → 46,684 → 42,524 → 31,900 → 46,220 → 50,884 → 38,170 — unresolved within range

Continued fraction of √n

√1,356 = [36; (1, 4, 1, 2, 8, 1, 5, 1, 4, 18, 4, 1, 5, 1, 8, 2, 1, 4, 1, 72)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words: one thousand three hundred fifty-six
Ordinal: 1356th
Roman numeral: MCCCLVI
Binary: 10101001100
Octal: 2514
Hexadecimal: 0x54C
Base64: BUw=
One's complement: 64,179 (16-bit)
Scientific notation: 1.356 × 10³
As a duration: 1,356 s = 22 minutes, 36 seconds

In other bases

ternary (3) 1212020

quaternary (4) 111030

quinary (5) 20411

senary (6) 10140

septenary (7) 3645

nonary (9) 1766

undecimal (11) 1023

duodecimal (12) 950

tridecimal (13) 804

tetradecimal (14) 6cc

pentadecimal (15) 606

Palindromic in base 15

As an angle

1,356° = 3 × 360° + 276°

276° ≈ 4.817 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ατνϛʹ
Mayan (base 20): 𝋣·𝋧·𝋰
Chinese: 一千三百五十六
Chinese (financial): 壹仟參佰伍拾陸

In other modern scripts

Eastern Arabic ١٣٥٦ Devanagari १३५६ Bengali ১৩৫৬ Tamil ௧௩௫௬ Thai ๑๓๕๖ Tibetan ༡༣༥༦ Khmer ១៣៥៦ Lao ໑໓໕໖ Burmese ၁၃၅၆

Digit at this position in famous constants

π — Pi (π): Digit 1,356 = 8
e — Euler's number (e): Digit 1,356 = 2
φ — Golden ratio (φ): Digit 1,356 = 0
√2 — Pythagoras's (√2): Digit 1,356 = 2
ln 2 — Natural log of 2: Digit 1,356 = 1
γ — Euler-Mascheroni (γ): Digit 1,356 = 2

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1356, here are decompositions:

29 + 1327 = 1356
37 + 1319 = 1356
53 + 1303 = 1356
59 + 1297 = 1356
67 + 1289 = 1356
73 + 1283 = 1356
79 + 1277 = 1356
97 + 1259 = 1356

Showing the first eight; more decompositions exist.

Unicode codepoint

Armenian Capital Letter Ra

U+054C

Uppercase letter (Lu)

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

Lookup U+054C on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#00054C

RGB(0, 5, 76)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.5.76.

Address: 0.0.5.76
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.5.76

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

Musical pitch

Heard as a frequency, 1,356 Hz is closest to:

Concert pitch (A4 = 440 Hz): E6 (1318.5 Hz, +49¢ — about midway to F6)
Scientific pitch (C4 = 256 Hz): F6 (1366.9 Hz, -14¢)
Baroque pitch (A4 = 415 Hz): F6 (1317.5 Hz, +50¢ — about midway to F♯6)

Position in π

The digit sequence 1356 first appears in π at position 41,807 of the decimal expansion (the 41,807ordinal-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 1356 on Pi Search ↗