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Number

1,964

1,964 is a composite number, even, a calendar year.

Arithmetic Number Deficient Number Odious Number Pernicious Number Recamán's Sequence Year

Notable events — 1964 AD

  1. Feb 9 The Beatles make their US television debut on The Ed Sullivan Show.
  2. Mar 27 The Great Alaska earthquake (magnitude 9.2) is the most powerful ever recorded in North America.
  3. Jul 2 President Johnson signs the Civil Rights Act, outlawing racial segregation.
  4. Aug 4 The Gulf of Tonkin incident escalates US involvement in the Vietnam War.
  5. Oct 16 China detonates its first atomic bomb at Lop Nur.

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

Year facts

Year type
Leap year
Divisible by 4 and not by 100; February has 29 days.
Days in year
366
ISO weeks
53
Long year: contains 53 ISO weeks.
Started on
Wednesday
January 1, 1964
Ended on
Thursday
December 31, 1964
Friday the 13ths
2
2 Friday the 13ths this year.
Easter Sunday
March 29
Sunday, March 29, 1964
Decade
1960s
1960–1969
Century
20th century
1901–2000
Millennium
2nd millennium
1001–2000
Years ago
62
62 years before 2026.
US presidential election
Yes
US holds a presidential election in years divisible by 4 starting from 1788.
Summer Olympics
Yes
Winter Olympics
Yes
Held in the same year as the Summer Games until 1992.

In other calendars

Hebrew
5724 / 5725 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
1383 / 1384 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Wood zodiac:Dragon
Sexagenary cycle position 41 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
2507 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
1342 / 1343 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1956 / 1957 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1886 / 1885 Saka
Indian national calendar; year starts in March.
Japanese
Shōwa 39
Reign-era counting from the start of each emperor's reign.

Properties

Parity
Even
Digit count
4
Digit sum
20
Digit product
216
Digital root
2
Palindrome
No
Bit width
11 bits
Reversed
4,691
Recamán's sequence
a(3,823) = 1,964
Square (n²)
3,857,296
Cube (n³)
7,575,729,344
Divisor count
6
σ(n) — sum of divisors
3,444
φ(n) — Euler's totient
980
Sum of prime factors
495

Primality

Prime factorization: 2 2 × 491

Nearest primes: 1,951 (−13) · 1,973 (+9)

Divisors & multiples

All divisors (6)
1 · 2 · 4 · 491 · 982 (half) · 1964
Aliquot sum (sum of proper divisors): 1,480
Factor pairs (a × b = 1,964)
1 × 1964
2 × 982
4 × 491
First multiples
1,964 · 3,928 (double) · 5,892 · 7,856 · 9,820 · 11,784 · 13,748 · 15,712 · 17,676 · 19,640

Sums & aliquot sequence

As consecutive integers: 242 + 243 + … + 249
Aliquot sequence: 1,964 1,480 1,940 2,176 2,414 1,474 974 490 536 484 447 153 81 40 50 43 1 — unresolved within range

Representations

In words
one thousand nine hundred sixty-four
Ordinal
1964th
Roman numeral
MCMLXIV
Binary
11110101100
Octal
3654
Hexadecimal
0x7AC
Base64
B6w=
One's complement
63,571 (16-bit)
In other bases
ternary (3) 2200202
quaternary (4) 132230
quinary (5) 30324
senary (6) 13032
septenary (7) 5504
nonary (9) 2622
undecimal (11) 1526
duodecimal (12) 1178
tridecimal (13) b81
tetradecimal (14) a04
pentadecimal (15) 8ae

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵αϡξδʹ
Mayan (base 20)
𝋤·𝋲·𝋤
Chinese
一千九百六十四
Chinese (financial)
壹仟玖佰陸拾肆
In other modern scripts
Eastern Arabic ١٩٦٤ Devanagari १९६४ Bengali ১৯৬৪ Tamil ௧௯௬௪ Thai ๑๙๖๔ Tibetan ༡༩༦༤ Khmer ១៩៦៤ Lao ໑໙໖໔ Burmese ၁၉၆၄

Digit at this position in famous constants

π — Pi (π)
Digit 1,964 = 9
e — Euler's number (e)
Digit 1,964 = 6
φ — Golden ratio (φ)
Digit 1,964 = 8
√2 — Pythagoras's (√2)
Digit 1,964 = 4
ln 2 — Natural log of 2
Digit 1,964 = 8
γ — Euler-Mascheroni (γ)
Digit 1,964 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1964, here are decompositions:

  • 13 + 1951 = 1964
  • 31 + 1933 = 1964
  • 97 + 1867 = 1964
  • 103 + 1861 = 1964
  • 163 + 1801 = 1964
  • 181 + 1783 = 1964
  • 211 + 1753 = 1964
  • 223 + 1741 = 1964

Showing the first eight; more decompositions exist.

Unicode codepoint
ެ
Thaana Ebefili
U+07AC
Non-spacing mark (Mn)

UTF-8 encoding: DE AC (2 bytes).

Hex color
#0007AC
RGB(0, 7, 172)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.7.172.

Address
0.0.7.172
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.7.172

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

Position in π

The digit sequence 1964 first appears in π at position 198 of the decimal expansion (the 198ordinal-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.