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Number

1,464

1,464 is a composite number, even, a calendar year.

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

Historical context — 1464 AD

Calendar year

Year 1464 (MCDLXIV) 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
Friday
January 1, 1464
Ended on
Saturday
December 31, 1464
Friday the 13ths
1
One Friday the 13th this year.
Decade
1460s
1460–1469
Century
15th century
1401–1500
Millennium
2nd millennium
1001–2000
Years ago
562
562 years before 2026.

In other calendars

Hebrew
5224 / 5225 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
868 / 869 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Wood zodiac:Monkey
Sexagenary cycle position 21 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
2007 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
842 / 843 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1456 / 1457 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1386 / 1385 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
15
Digit product
96
Digital root
6
Palindrome
No
Bit width
11 bits
Reversed
4,641
Recamán's sequence
a(1,632) = 1,464
Square (n²)
2,143,296
Cube (n³)
3,137,785,344
Divisor count
16
σ(n) — sum of divisors
3,720
φ(n) — Euler's totient
480
Sum of prime factors
70

Primality

Prime factorization: 2 3 × 3 × 61

Nearest primes: 1,459 (−5) · 1,471 (+7)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 24 · 61 · 122 · 183 · 244 · 366 · 488 · 732 (half) · 1464
Aliquot sum (sum of proper divisors): 2,256
Factor pairs (a × b = 1,464)
1 × 1464
2 × 732
3 × 488
4 × 366
6 × 244
8 × 183
12 × 122
24 × 61
First multiples
1,464 · 2,928 (double) · 4,392 · 5,856 · 7,320 · 8,784 · 10,248 · 11,712 · 13,176 · 14,640

Sums & aliquot sequence

As consecutive integers: 487 + 488 + 489 84 + 85 + … + 99 7 + 8 + … + 54
Aliquot sequence: 1,464 2,256 3,696 8,208 16,592 18,004 18,060 41,076 78,316 78,372 148,764 310,884 518,364 1,224,468 2,427,180 5,341,140 13,982,892 — unresolved within range

Representations

In words
one thousand four hundred sixty-four
Ordinal
1464th
Roman numeral
MCDLXIV
Binary
10110111000
Octal
2670
Hexadecimal
0x5B8
Base64
Bbg=
One's complement
64,071 (16-bit)
In other bases
ternary (3) 2000020
quaternary (4) 112320
quinary (5) 21324
senary (6) 10440
septenary (7) 4161
nonary (9) 2006
undecimal (11) 1111
duodecimal (12) a20
tridecimal (13) 888
tetradecimal (14) 768
pentadecimal (15) 679

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵αυξδʹ
Mayan (base 20)
𝋣·𝋭·𝋤
Chinese
一千四百六十四
Chinese (financial)
壹仟肆佰陸拾肆
In other modern scripts
Eastern Arabic ١٤٦٤ Devanagari १४६४ Bengali ১৪৬৪ Tamil ௧௪௬௪ Thai ๑๔๖๔ Tibetan ༡༤༦༤ Khmer ១៤៦៤ Lao ໑໔໖໔ Burmese ၁၄၆၄

Digit at this position in famous constants

π — Pi (π)
Digit 1,464 = 0
e — Euler's number (e)
Digit 1,464 = 2
φ — Golden ratio (φ)
Digit 1,464 = 3
√2 — Pythagoras's (√2)
Digit 1,464 = 2
ln 2 — Natural log of 2
Digit 1,464 = 4
γ — Euler-Mascheroni (γ)
Digit 1,464 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1464, here are decompositions:

  • 5 + 1459 = 1464
  • 11 + 1453 = 1464
  • 13 + 1451 = 1464
  • 17 + 1447 = 1464
  • 31 + 1433 = 1464
  • 37 + 1427 = 1464
  • 41 + 1423 = 1464
  • 83 + 1381 = 1464

Showing the first eight; more decompositions exist.

Unicode codepoint
ָ
Hebrew Point Qamats
U+05B8
Non-spacing mark (Mn)

UTF-8 encoding: D6 B8 (2 bytes).

Hex color
#0005B8
RGB(0, 5, 184)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.5.184.

Address
0.0.5.184
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.5.184

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

Position in π

The digit sequence 1464 first appears in π at position 21,988 of the decimal expansion (the 21,988ordinal-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.