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Number

1,352

1,352 is a composite number, even, a calendar year.

Abundant Number Achilles Number Evil Number Powerful Number Practical Number Recamán's Sequence Semiperfect Number Year

Historical context — 1352 AD

Calendar year

Year 1352 (MCCCLII) was a leap year starting on Sunday 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
Leap year
Divisible by 4 and not by 100; February has 29 days.
Days in year
366
ISO weeks
52
Started on
Saturday
January 1, 1352
Ended on
Sunday
December 31, 1352
Friday the 13ths
1
One Friday the 13th this year.
Decade
1350s
1350–1359
Century
14th century
1301–1400
Millennium
2nd millennium
1001–2000
Years ago
674
674 years before 2026.

In other calendars

Hebrew
5112 / 5113 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
752 / 753 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Water zodiac:Dragon
Sexagenary cycle position 29 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1895 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
730 / 731 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1344 / 1345 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1274 / 1273 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
11
Digit product
30
Digital root
2
Palindrome
No
Bit width
11 bits
Reversed
2,531
Recamán's sequence
a(16,431) = 1,352
Square (n²)
1,827,904
Cube (n³)
2,471,326,208
Divisor count
12
σ(n) — sum of divisors
2,745
φ(n) — Euler's totient
624
Sum of prime factors
32

Primality

Prime factorization: 2 3 × 13 2

Nearest primes: 1,327 (−25) · 1,361 (+9)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 8 · 13 · 26 · 52 · 104 · 169 · 338 · 676 (half) · 1352
Aliquot sum (sum of proper divisors): 1,393
Factor pairs (a × b = 1,352)
1 × 1352
2 × 676
4 × 338
8 × 169
13 × 104
26 × 52
First multiples
1,352 · 2,704 (double) · 4,056 · 5,408 · 6,760 · 8,112 · 9,464 · 10,816 · 12,168 · 13,520

Sums & aliquot sequence

As a sum of two squares: 14² + 34² = 26² + 26²
As consecutive integers: 98 + 99 + … + 110 77 + 78 + … + 92
Aliquot sequence: 1,352 1,393 207 105 87 33 15 9 4 3 1 0 — terminates at zero

Representations

In words
one thousand three hundred fifty-two
Ordinal
1352nd
Roman numeral
MCCCLII
Binary
10101001000
Octal
2510
Hexadecimal
0x548
Base64
BUg=
One's complement
64,183 (16-bit)
In other bases
ternary (3) 1212002
quaternary (4) 111020
quinary (5) 20402
senary (6) 10132
septenary (7) 3641
nonary (9) 1762
undecimal (11) 101a
duodecimal (12) 948
tridecimal (13) 800
tetradecimal (14) 6c8
pentadecimal (15) 602

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ατνβʹ
Mayan (base 20)
𝋣·𝋧·𝋬
Chinese
一千三百五十二
Chinese (financial)
壹仟參佰伍拾貳
In other modern scripts
Eastern Arabic ١٣٥٢ Devanagari १३५२ Bengali ১৩৫২ Tamil ௧௩௫௨ Thai ๑๓๕๒ Tibetan ༡༣༥༢ Khmer ១៣៥២ Lao ໑໓໕໒ Burmese ၁၃၅၂

Digit at this position in famous constants

π — Pi (π)
Digit 1,352 = 2
e — Euler's number (e)
Digit 1,352 = 6
φ — Golden ratio (φ)
Digit 1,352 = 9
√2 — Pythagoras's (√2)
Digit 1,352 = 6
ln 2 — Natural log of 2
Digit 1,352 = 4
γ — Euler-Mascheroni (γ)
Digit 1,352 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1352, here are decompositions:

  • 31 + 1321 = 1352
  • 61 + 1291 = 1352
  • 73 + 1279 = 1352
  • 103 + 1249 = 1352
  • 139 + 1213 = 1352
  • 151 + 1201 = 1352
  • 181 + 1171 = 1352
  • 199 + 1153 = 1352

Showing the first eight; more decompositions exist.

Unicode codepoint
Ո
Armenian Capital Letter Vo
U+0548
Uppercase letter (Lu)

UTF-8 encoding: D5 88 (2 bytes).

Hex color
#000548
RGB(0, 5, 72)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.5.72.

Address
0.0.5.72
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.5.72

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

Position in π

The digit sequence 1352 first appears in π at position 5,736 of the decimal expansion (the 5,736ordinal-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.