Number

834

834 is a composite number, even, a calendar year.

834 (eight hundred thirty-four) is an even 3-digit number. It is a composite number with 8 divisors, and factors as 2 × 3 × 139. Its proper divisors sum to 846, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is DCCCXXXIV and in binary, 1101000010.

Abundant Number Arithmetic Number Cake Number Cube-Free Evil Number Recamán's Sequence Semiperfect Number Sphenic Number Squarefree Year

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

822 823 824 825 826 827 828 829 830 831 832 833 834 835 836 837 838 839 840 841 842 843 844 845 846

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Historical context — 834 AD

Calendar year

Year 834 (DCCCXXXIV) was a common year starting on Thursday of the Julian calendar.

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

Historical context — 834 BC

Decade

This article concerns the period 839 BC – 830 BC.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 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, 834
Ended on: Sunday
December 31, 834
Friday the 13ths: 2
2 Friday the 13ths this year.
Decade: 830s
830–839
Century: 9th century
801–900
Millennium: 1st millennium
1–1000
Years ago: 1,192
1192 years before 2026.

In other calendars

Hebrew: 4594 / 4595 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 218 / 219 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Wood zodiac:Tiger
Sexagenary cycle position 51 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1377 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 212 / 213 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 826 / 827 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 756 / 755 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 3
Digit sum: 15
Digit product: 96
Digital root: 6
Palindrome: No
Bit width: 10 bits
Reversed: 438
Recamán's sequence: a(56,515) = 834
Square (n²): 695,556
Cube (n³): 580,093,704
Divisor count: 8
σ(n) — sum of divisors: 1,680
φ(n) — Euler's totient: 276
Sum of prime factors: 144

Primality

Prime factorization: 2 × 3 × 139

Nearest primes: 829 (−5) · 839 (+5)

Divisors & multiples

All divisors (8)

1 · 2 · 3 · 6 · 139 · 278 · 417 (half) · 834

Aliquot sum (sum of proper divisors): 846

Factor pairs (a × b = 834)

1 × 834

2 × 417

3 × 278

6 × 139

First multiples

834 · 1,668 (double) · 2,502 · 3,336 · 4,170 · 5,004 · 5,838 · 6,672 · 7,506 · 8,340

Sums & aliquot sequence

As consecutive integers: 277 + 278 + 279 207 + 208 + 209 + 210 64 + 65 + … + 75

Aliquot sequence: 834 → 846 → 1,026 → 1,374 → 1,386 → 2,358 → 2,790 → 4,698 → 6,192 → 11,540 → 12,736 → 12,664 → 11,096 → 11,104 → 10,820 → 11,944 → 10,466 — unresolved within range

Continued fraction of √n

√834 = [28; (1, 7, 3, 1, 2, 1, 1, 1, 3, 2, 28, 2, 3, 1, 1, 1, 2, 1, 3, 7, 1, 56)]

Period length 22 — the block in parentheses repeats forever.

Representations

In words: eight hundred thirty-four
Ordinal: 834th
Roman numeral: DCCCXXXIV
Binary: 1101000010
Octal: 1502
Hexadecimal: 0x342
Base64: A0I=
One's complement: 64,701 (16-bit)
Scientific notation: 8.34 × 10²
As a duration: 834 s = 13 minutes, 54 seconds

In other bases

ternary (3) 1010220

quaternary (4) 31002

quinary (5) 11314

senary (6) 3510

septenary (7) 2301

nonary (9) 1126

undecimal (11) 699

duodecimal (12) 596

tridecimal (13) 4c2

tetradecimal (14) 438

pentadecimal (15) 3a9

As an angle

834° = 2 × 360° + 114°

114° ≈ 1.99 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): ωλδʹ
Mayan (base 20): 𝋢·𝋡·𝋮
Chinese: 八百三十四
Chinese (financial): 捌佰參拾肆

In other modern scripts

Eastern Arabic ٨٣٤ Devanagari ८३४ Bengali ৮৩৪ Tamil ௮௩௪ Thai ๘๓๔ Tibetan ༨༣༤ Khmer ៨៣៤ Lao ໘໓໔ Burmese ၈၃၄

Digit at this position in famous constants

π — Pi (π): Digit 834 = 4
e — Euler's number (e): Digit 834 = 6
φ — Golden ratio (φ): Digit 834 = 1
√2 — Pythagoras's (√2): Digit 834 = 3
ln 2 — Natural log of 2: Digit 834 = 7
γ — Euler-Mascheroni (γ): Digit 834 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 834, here are decompositions:

5 + 829 = 834
7 + 827 = 834
11 + 823 = 834
13 + 821 = 834
23 + 811 = 834
37 + 797 = 834
47 + 787 = 834
61 + 773 = 834

Showing the first eight; more decompositions exist.

Unicode codepoint

Combining Greek Perispomeni

U+0342

Non-spacing mark (Mn)

UTF-8 encoding: CD 82 (2 bytes).

Lookup U+0342 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000342

RGB(0, 3, 66)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.3.66.

Address: 0.0.3.66
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.3.66

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

Musical pitch

Heard as a frequency, 834 Hz is closest to:

Concert pitch (A4 = 440 Hz): G♯5 (830.6 Hz, +7¢)
Scientific pitch (C4 = 256 Hz): G♯5 (812.7 Hz, +45¢ — about midway to A5)
Baroque pitch (A4 = 415 Hz): A5 (830 Hz, +8¢)