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Number

1,354

1,354 is a composite number, even, a calendar year.

Deficient Number Odious Number Pernicious Number Recamán's Sequence Semiprime Squarefree Year

Historical context — 1354 AD

Calendar year

Year 1354 (MCCCLIV) was a common year starting on Wednesday of the Julian calendar.

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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
52
Started on
Tuesday
January 1, 1354
Ended on
Tuesday
December 31, 1354
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
672
672 years before 2026.

In other calendars

Hebrew
5114 / 5115 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
754 / 755 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Wood zodiac:Horse
Sexagenary cycle position 31 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1897 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
732 / 733 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1346 / 1347 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1276 / 1275 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
13
Digit product
60
Digital root
4
Palindrome
No
Bit width
11 bits
Reversed
4,531
Recamán's sequence
a(56,167) = 1,354
Square (n²)
1,833,316
Cube (n³)
2,482,309,864
Divisor count
4
σ(n) — sum of divisors
2,034
φ(n) — Euler's totient
676
Sum of prime factors
679

Primality

Prime factorization: 2 × 677

Nearest primes: 1,327 (−27) · 1,361 (+7)

Divisors & multiples

All divisors (4)
1 · 2 · 677 (half) · 1354
Aliquot sum (sum of proper divisors): 680
Factor pairs (a × b = 1,354)
1 × 1354
2 × 677
First multiples
1,354 · 2,708 (double) · 4,062 · 5,416 · 6,770 · 8,124 · 9,478 · 10,832 · 12,186 · 13,540

Sums & aliquot sequence

As a sum of two squares: 25² + 27²
As consecutive integers: 337 + 338 + 339 + 340
Aliquot sequence: 1,354 680 940 1,076 814 554 280 440 640 890 730 602 454 230 202 104 106 — unresolved within range

Representations

In words
one thousand three hundred fifty-four
Ordinal
1354th
Roman numeral
MCCCLIV
Binary
10101001010
Octal
2512
Hexadecimal
0x54A
Base64
BUo=
One's complement
64,181 (16-bit)
In other bases
ternary (3) 1212011
quaternary (4) 111022
quinary (5) 20404
senary (6) 10134
septenary (7) 3643
nonary (9) 1764
undecimal (11) 1021
duodecimal (12) 94a
tridecimal (13) 802
tetradecimal (14) 6ca
pentadecimal (15) 604

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ατνδʹ
Mayan (base 20)
𝋣·𝋧·𝋮
Chinese
一千三百五十四
Chinese (financial)
壹仟參佰伍拾肆
In other modern scripts
Eastern Arabic ١٣٥٤ Devanagari १३५४ Bengali ১৩৫৪ Tamil ௧௩௫௪ Thai ๑๓๕๔ Tibetan ༡༣༥༤ Khmer ១៣៥៤ Lao ໑໓໕໔ Burmese ၁၃၅၄

Digit at this position in famous constants

π — Pi (π)
Digit 1,354 = 3
e — Euler's number (e)
Digit 1,354 = 8
φ — Golden ratio (φ)
Digit 1,354 = 6
√2 — Pythagoras's (√2)
Digit 1,354 = 2
ln 2 — Natural log of 2
Digit 1,354 = 0
γ — Euler-Mascheroni (γ)
Digit 1,354 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1354, here are decompositions:

  • 47 + 1307 = 1354
  • 53 + 1301 = 1354
  • 71 + 1283 = 1354
  • 131 + 1223 = 1354
  • 137 + 1217 = 1354
  • 167 + 1187 = 1354
  • 173 + 1181 = 1354
  • 191 + 1163 = 1354

Showing the first eight; more decompositions exist.

Unicode codepoint
Պ
Armenian Capital Letter Peh
U+054A
Uppercase letter (Lu)

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

Hex color
#00054A
RGB(0, 5, 74)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.5.74.

Address
0.0.5.74
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.5.74

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

Position in π

The digit sequence 1354 first appears in π at position 2,727 of the decimal expansion (the 2,727ordinal-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.