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Number

1,358

1,358 is a composite number, even, a calendar year.

Arithmetic Number Ascending Digits Deficient Number Evil Number Recamán's Sequence Sphenic Number Squarefree Year

Historical context — 1358 AD

Calendar year

Year 1358 (MCCCLVIII) was a common year starting on Monday of the Julian calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 · English fallback Read the full article on Wikipedia →

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
Sunday
January 1, 1358
Ended on
Sunday
December 31, 1358
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
668
668 years before 2026.

In other calendars

Hebrew
5118 / 5119 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
759 / 760 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Earth zodiac:Dog
Sexagenary cycle position 35 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1901 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
736 / 737 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1350 / 1351 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1280 / 1279 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
17
Digit product
120
Digital root
8
Palindrome
No
Bit width
11 bits
Reversed
8,531
Recamán's sequence
a(460) = 1,358
Square (n²)
1,844,164
Cube (n³)
2,504,374,712
Divisor count
8
σ(n) — sum of divisors
2,352
φ(n) — Euler's totient
576
Sum of prime factors
106

Primality

Prime factorization: 2 × 7 × 97

Nearest primes: 1,327 (−31) · 1,361 (+3)

Divisors & multiples

All divisors (8)
1 · 2 · 7 · 14 · 97 · 194 · 679 (half) · 1358
Aliquot sum (sum of proper divisors): 994
Factor pairs (a × b = 1,358)
1 × 1358
2 × 679
7 × 194
14 × 97
First multiples
1,358 · 2,716 (double) · 4,074 · 5,432 · 6,790 · 8,148 · 9,506 · 10,864 · 12,222 · 13,580

Sums & aliquot sequence

As consecutive integers: 338 + 339 + 340 + 341 191 + 192 + … + 197 35 + 36 + … + 62
Aliquot sequence: 1,358 994 734 370 314 160 218 112 136 134 70 74 40 50 43 1 0 — terminates at zero

Representations

In words
one thousand three hundred fifty-eight
Ordinal
1358th
Roman numeral
MCCCLVIII
Binary
10101001110
Octal
2516
Hexadecimal
0x54E
Base64
BU4=
One's complement
64,177 (16-bit)
In other bases
ternary (3) 1212022
quaternary (4) 111032
quinary (5) 20413
senary (6) 10142
septenary (7) 3650
nonary (9) 1768
undecimal (11) 1025
duodecimal (12) 952
tridecimal (13) 806
tetradecimal (14) 6d0
pentadecimal (15) 608

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ατνηʹ
Mayan (base 20)
𝋣·𝋧·𝋲
Chinese
一千三百五十八
Chinese (financial)
壹仟參佰伍拾捌
In other modern scripts
Eastern Arabic ١٣٥٨ Devanagari १३५८ Bengali ১৩৫৮ Tamil ௧௩௫௮ Thai ๑๓๕๘ Tibetan ༡༣༥༨ Khmer ១៣៥៨ Lao ໑໓໕໘ Burmese ၁၃၅၈

Digit at this position in famous constants

π — Pi (π)
Digit 1,358 = 4
e — Euler's number (e)
Digit 1,358 = 2
φ — Golden ratio (φ)
Digit 1,358 = 3
√2 — Pythagoras's (√2)
Digit 1,358 = 7
ln 2 — Natural log of 2
Digit 1,358 = 6
γ — Euler-Mascheroni (γ)
Digit 1,358 = 7

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1358, here are decompositions:

  • 31 + 1327 = 1358
  • 37 + 1321 = 1358
  • 61 + 1297 = 1358
  • 67 + 1291 = 1358
  • 79 + 1279 = 1358
  • 109 + 1249 = 1358
  • 127 + 1231 = 1358
  • 157 + 1201 = 1358

Showing the first eight; more decompositions exist.

Unicode codepoint
Վ
Armenian Capital Letter Vew
U+054E
Uppercase letter (Lu)

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

Hex color
#00054E
RGB(0, 5, 78)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.5.78.

Address
0.0.5.78
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.5.78

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

Position in π

The digit sequence 1358 first appears in π at position 32,602 of the decimal expansion (the 32,602ordinal-suffix:nd 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.