Number

1,368

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

1,368 (one thousand three hundred sixty-eight) is an even 4-digit number. It is a composite number with 24 divisors, and factors as 2³ × 3² × 19. Its proper divisors sum to 2,532, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MCCCLXVIII and in binary, 10101011000.

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

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

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 1,369 1,370 1,371 1,372 1,373 1,374 1,375 1,376 1,377 1,378 1,379 1,380

less more

Notable events — 1368 AD

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

Continued fraction of √n

√1,368 = [36; (1, 72)]

Period length 2 — the block in parentheses repeats forever.

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)
Scientific notation: 1.368 × 10³
As a duration: 1,368 s = 22 minutes, 48 seconds

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

Palindromic in base 7

As an angle

1,368° = 3 × 360° + 288°

288° ≈ 5.027 rad

Compass bearing: WNW (west-northwest)

Why does a circle have 360 degrees? →

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.

Musical pitch

Heard as a frequency, 1,368 Hz is closest to:

Concert pitch (A4 = 440 Hz): F6 (1396.9 Hz, -36¢)
Scientific pitch (C4 = 256 Hz): F6 (1366.9 Hz, +1¢)
Baroque pitch (A4 = 415 Hz): F♯6 (1395.9 Hz, -35¢)

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.

Look up 1368 on Pi Search ↗