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Number

1,368

1,368 is a composite number, even, a calendar year.

Abundant Number Ascending Digits Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Self Number Semiperfect Number Year

Notable events — 1368 AD

  1. Jan 23 Zhu Yuanzhang proclaims himself Hongwu Emperor, founding the Ming dynasty.

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
52
Started on
Friday
January 1, 1368
Ended on
Saturday
December 31, 1368
Friday the 13ths
1
One Friday the 13th this year.
Decade
1360s
1360–1369
Century
14th century
1301–1400
Millennium
2nd millennium
1001–2000
Years ago
658
658 years before 2026.

In other calendars

Hebrew
5128 / 5129 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
769 / 770 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Earth zodiac:Monkey
Sexagenary cycle position 45 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1911 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
746 / 747 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1360 / 1361 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1290 / 1289 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
18
Digit product
144
Digital root
9
Palindrome
No
Bit width
11 bits
Reversed
8,631
Recamán's sequence
a(8,392) = 1,368
Square (n²)
1,871,424
Cube (n³)
2,560,108,032
Divisor count
24
σ(n) — sum of divisors
3,900
φ(n) — Euler's totient
432
Sum of prime factors
31

Primality

Prime factorization: 2 3 × 3 2 × 19

Nearest primes: 1,367 (−1) · 1,373 (+5)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 18 · 19 · 24 · 36 · 38 · 57 · 72 · 76 · 114 · 152 · 171 · 228 · 342 · 456 · 684 (half) · 1368
Aliquot sum (sum of proper divisors): 2,532
Factor pairs (a × b = 1,368)
1 × 1368
2 × 684
3 × 456
4 × 342
6 × 228
8 × 171
9 × 152
12 × 114
18 × 76
19 × 72
24 × 57
36 × 38
First multiples
1,368 · 2,736 (double) · 4,104 · 5,472 · 6,840 · 8,208 · 9,576 · 10,944 · 12,312 · 13,680

Sums & aliquot sequence

As consecutive integers: 455 + 456 + 457 148 + 149 + … + 156 78 + 79 + … + 93 63 + 64 + … + 81
Aliquot sequence: 1,368 2,532 3,404 2,980 3,320 4,240 5,804 4,360 5,540 6,136 6,464 6,490 6,470 5,194 4,040 5,140 5,696 — unresolved within range

Representations

In words
one thousand three hundred sixty-eight
Ordinal
1368th
Roman numeral
MCCCLXVIII
Binary
10101011000
Octal
2530
Hexadecimal
0x558
Base64
BVg=
One's complement
64,167 (16-bit)
In other bases
ternary (3) 1212200
quaternary (4) 111120
quinary (5) 20433
senary (6) 10200
septenary (7) 3663
nonary (9) 1780
undecimal (11) 1034
duodecimal (12) 960
tridecimal (13) 813
tetradecimal (14) 6da
pentadecimal (15) 613

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ατξηʹ
Mayan (base 20)
𝋣·𝋨·𝋨
Chinese
一千三百六十八
Chinese (financial)
壹仟參佰陸拾捌
In other modern scripts
Eastern Arabic ١٣٦٨ Devanagari १३६८ Bengali ১৩৬৮ Tamil ௧௩௬௮ Thai ๑๓๖๘ Tibetan ༡༣༦༨ Khmer ១៣៦៨ Lao ໑໓໖໘ Burmese ၁၃၆၈

Digit at this position in famous constants

π — Pi (π)
Digit 1,368 = 4
e — Euler's number (e)
Digit 1,368 = 6
φ — Golden ratio (φ)
Digit 1,368 = 1
√2 — Pythagoras's (√2)
Digit 1,368 = 2
ln 2 — Natural log of 2
Digit 1,368 = 0
γ — Euler-Mascheroni (γ)
Digit 1,368 = 2

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1368, here are decompositions:

  • 7 + 1361 = 1368
  • 41 + 1327 = 1368
  • 47 + 1321 = 1368
  • 61 + 1307 = 1368
  • 67 + 1301 = 1368
  • 71 + 1297 = 1368
  • 79 + 1289 = 1368
  • 89 + 1279 = 1368

Showing the first eight; more decompositions exist.

Hex color
#000558
RGB(0, 5, 88)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.5.88.

Address
0.0.5.88
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.5.88

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

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
000001368
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.

Position in π

The digit sequence 1368 first appears in π at position 2,545 of the decimal expansion (the 2,545ordinal-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.