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Number

1,634

1,634 is a composite number, even, a calendar year.

Arithmetic Number Deficient Number Narcissistic / Armstrong Odious Number Pernicious Number Recamán's Sequence Sphenic Number Squarefree Year

Notable events — 1634 AD

  1. Sep 6 Imperial forces defeat the Swedes at Nördlingen.
  2. Feb 25 Albrecht von Wallenstein is assassinated.
  3. Mar 25 The first Maryland colonists found St. Mary's City.

Events compiled from Wikipedia ↗ · Licensed CC BY-SA 4.0

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, 1634
Ended on
Sunday
December 31, 1634
Friday the 13ths
2
2 Friday the 13ths this year.
Easter Sunday
April 16
Sunday, April 16, 1634
Decade
1630s
1630–1639
Century
17th century
1601–1700
Millennium
2nd millennium
1001–2000
Years ago
392
392 years before 2026.

In other calendars

Hebrew
5394 / 5395 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
1043 / 1044 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Wood zodiac:Dog
Sexagenary cycle position 11 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
2177 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
1012 / 1013 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1626 / 1627 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1556 / 1555 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
14
Digit product
72
Digital root
5
Palindrome
No
Bit width
11 bits
Reversed
4,361
Recamán's sequence
a(684) = 1,634
Square (n²)
2,669,956
Cube (n³)
4,362,708,104
Divisor count
8
σ(n) — sum of divisors
2,640
φ(n) — Euler's totient
756
Sum of prime factors
64

Primality

Prime factorization: 2 × 19 × 43

Nearest primes: 1,627 (−7) · 1,637 (+3)

Divisors & multiples

All divisors (8)
1 · 2 · 19 · 38 · 43 · 86 · 817 (half) · 1634
Aliquot sum (sum of proper divisors): 1,006
Factor pairs (a × b = 1,634)
1 × 1634
2 × 817
19 × 86
38 × 43
First multiples
1,634 · 3,268 (double) · 4,902 · 6,536 · 8,170 · 9,804 · 11,438 · 13,072 · 14,706 · 16,340

Sums & aliquot sequence

As consecutive integers: 407 + 408 + 409 + 410 77 + 78 + … + 95 17 + 18 + … + 59
Aliquot sequence: 1,634 1,006 506 358 182 154 134 70 74 40 50 43 1 0 — terminates at zero

Representations

In words
one thousand six hundred thirty-four
Ordinal
1634th
Roman numeral
MDCXXXIV
Binary
11001100010
Octal
3142
Hexadecimal
0x662
Base64
BmI=
One's complement
63,901 (16-bit)
In other bases
ternary (3) 2020112
quaternary (4) 121202
quinary (5) 23014
senary (6) 11322
septenary (7) 4523
nonary (9) 2215
undecimal (11) 1256
duodecimal (12) b42
tridecimal (13) 989
tetradecimal (14) 84a
pentadecimal (15) 73e

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵αχλδʹ
Mayan (base 20)
𝋤·𝋡·𝋮
Chinese
一千六百三十四
Chinese (financial)
壹仟陸佰參拾肆
In other modern scripts
Eastern Arabic ١٦٣٤ Devanagari १६३४ Bengali ১৬৩৪ Tamil ௧௬௩௪ Thai ๑๖๓๔ Tibetan ༡༦༣༤ Khmer ១៦៣៤ Lao ໑໖໓໔ Burmese ၁၆၃၄

Digit at this position in famous constants

π — Pi (π)
Digit 1,634 = 3
e — Euler's number (e)
Digit 1,634 = 2
φ — Golden ratio (φ)
Digit 1,634 = 0
√2 — Pythagoras's (√2)
Digit 1,634 = 2
ln 2 — Natural log of 2
Digit 1,634 = 1
γ — Euler-Mascheroni (γ)
Digit 1,634 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1634, here are decompositions:

  • 7 + 1627 = 1634
  • 13 + 1621 = 1634
  • 37 + 1597 = 1634
  • 67 + 1567 = 1634
  • 103 + 1531 = 1634
  • 151 + 1483 = 1634
  • 163 + 1471 = 1634
  • 181 + 1453 = 1634

Showing the first eight; more decompositions exist.

Unicode codepoint
٢
Arabic-Indic Digit Two
U+0662
Decimal digit (Nd)

UTF-8 encoding: D9 A2 (2 bytes).

Hex color
#000662
RGB(0, 6, 98)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.6.98.

Address
0.0.6.98
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.6.98

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

Position in π

The digit sequence 1634 first appears in π at position 6,018 of the decimal expansion (the 6,018ordinal-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.