number.wiki
Number

1,356

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

Abundant Number Arithmetic Number Ascending Digits Odious Number Pernicious Number Recamán's Sequence Semiperfect Number Year

Notable events — 1356 AD

  1. 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

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)
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

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
Ռ
Armenian Capital Letter Ra
U+054C
Uppercase letter (Lu)

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

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.

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.