1,352
1,352 is a composite number, even, a calendar year.
1,352 (one thousand three hundred fifty-two) is an even 4-digit number. It is a composite number with 12 divisors, and factors as 2³ × 13². Its proper divisors sum to 1,393, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MCCCLII and in binary, 10101001000.
Interestingness
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 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
Primality
Prime factorization: 2 3 × 13 2
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√1,352 = [36; (1, 3, 2, 1, 17, 1, 2, 3, 1, 72)]
Period length 10 — the block in parentheses repeats forever.
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)
- Scientific notation
- 1.352 × 10³
- As a duration
- 1,352 s = 22 minutes, 32 seconds
As an angle
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
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'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.
UTF-8 encoding: D5 88 (2 bytes).
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.
Heard as a frequency, 1,352 Hz is closest to:
- Concert pitch (A4 = 440 Hz): E6 (1318.5 Hz, +43¢)
- Scientific pitch (C4 = 256 Hz): F6 (1366.9 Hz, -19¢)
- Baroque pitch (A4 = 415 Hz): F6 (1317.5 Hz, +45¢ — about midway to F♯6)
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.
Related reading
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.