Number

1,740

1,740 is a composite number, even, a calendar year.

1,740 (one thousand seven hundred forty) is an even 4-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 5 × 29. Its proper divisors sum to 3,300, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MDCCXL and in binary, 11011001100.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number Year

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

1,728 1,729 1,730 1,731 1,732 1,733 1,734 1,735 1,736 1,737 1,738 1,739 1,740 1,741 1,742 1,743 1,744 1,745 1,746 1,747 1,748 1,749 1,750 1,751 1,752

less more

Notable events — 1740 AD

Oct 20 Maria Theresa inherits Habsburg lands as Emperor Charles VI dies; Frederick II invades Silesia, starting the War of the Austrian Succession.
May 31 Frederick II becomes king in Prussia.
Dec 16 Prussia invades Silesia.

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: 52
Started on: Friday
January 1, 1740
Ended on: Saturday
December 31, 1740
Friday the 13ths: 1
One Friday the 13th this year.
Easter Sunday: April 17
Sunday, April 17, 1740
Decade: 1740s
1740–1749
Century: 18th century
1701–1800
Millennium: 2nd millennium
1001–2000
Years ago: 286
286 years before 2026.

In other calendars

Hebrew: 5500 / 5501 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 1152 / 1153 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Metal zodiac:Monkey
Sexagenary cycle position 57 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 2283 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 1118 / 1119 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1732 / 1733 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1662 / 1661 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 4
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 11 bits
Reversed: 471
Recamán's sequence: a(1,220) = 1,740
Square (n²): 3,027,600
Cube (n³): 5,268,024,000
Divisor count: 24
σ(n) — sum of divisors: 5,040
φ(n) — Euler's totient: 448
Sum of prime factors: 41

Primality

Prime factorization: 2 ² × 3 × 5 × 29

Nearest primes: 1,733 (−7) · 1,741 (+1)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 5 · 6 · 10 · 12 · 15 · 20 · 29 · 30 · 58 · 60 · 87 · 116 · 145 · 174 · 290 · 348 · 435 · 580 · 870 (half) · 1740

Aliquot sum (sum of proper divisors): 3,300

Factor pairs (a × b = 1,740)

1 × 1740

2 × 870

3 × 580

4 × 435

5 × 348

6 × 290

10 × 174

12 × 145

15 × 116

20 × 87

29 × 60

30 × 58

First multiples

1,740 · 3,480 (double) · 5,220 · 6,960 · 8,700 · 10,440 · 12,180 · 13,920 · 15,660 · 17,400

Sums & aliquot sequence

As consecutive integers: 579 + 580 + 581 346 + 347 + 348 + 349 + 350 214 + 215 + … + 221 109 + 110 + … + 123

Aliquot sequence: 1,740 → 3,300 → 7,116 → 9,516 → 14,788 → 11,098 → 6,182 → 3,970 → 3,194 → 1,600 → 2,337 → 1,023 → 513 → 287 → 49 → 8 → 7 — unresolved within range

Continued fraction of √n

√1,740 = [41; (1, 2, 2, 20, 2, 2, 1, 82)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words: one thousand seven hundred forty
Ordinal: 1740th
Roman numeral: MDCCXL
Binary: 11011001100
Octal: 3314
Hexadecimal: 0x6CC
Base64: Bsw=
One's complement: 63,795 (16-bit)
Scientific notation: 1.74 × 10³
As a duration: 1,740 s = 29 minutes

In other bases

ternary (3) 2101110

quaternary (4) 123030

quinary (5) 23430

senary (6) 12020

septenary (7) 5034

nonary (9) 2343

undecimal (11) 1342

duodecimal (12) 1010

tridecimal (13) a3b

tetradecimal (14) 8c4

pentadecimal (15) 7b0

As an angle

1,740° = 4 × 360° + 300°

300° ≈ 5.236 rad

Compass bearing: WNW (west-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian): ͵αψμʹ
Mayan (base 20): 𝋤·𝋧·𝋠
Chinese: 一千七百四十
Chinese (financial): 壹仟柒佰肆拾

In other modern scripts

Eastern Arabic ١٧٤٠ Devanagari १७४० Bengali ১৭৪০ Tamil ௧௭௪௦ Thai ๑๗๔๐ Tibetan ༡༧༤༠ Khmer ១៧៤០ Lao ໑໗໔໐ Burmese ၁၇၄၀

Digit at this position in famous constants

π — Pi (π): Digit 1,740 = 8
e — Euler's number (e): Digit 1,740 = 9
φ — Golden ratio (φ): Digit 1,740 = 5
√2 — Pythagoras's (√2): Digit 1,740 = 9
ln 2 — Natural log of 2: Digit 1,740 = 1
γ — Euler-Mascheroni (γ): Digit 1,740 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1740, here are decompositions:

7 + 1733 = 1740
17 + 1723 = 1740
19 + 1721 = 1740
31 + 1709 = 1740
41 + 1699 = 1740
43 + 1697 = 1740
47 + 1693 = 1740
71 + 1669 = 1740

Showing the first eight; more decompositions exist.

Unicode codepoint

Arabic Letter Farsi Yeh

U+06CC

Other letter (Lo)

UTF-8 encoding: DB 8C (2 bytes).

Lookup U+06CC on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0006CC

RGB(0, 6, 204)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.6.204.

Address: 0.0.6.204
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.6.204

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

Musical pitch

Heard as a frequency, 1,740 Hz is closest to:

Concert pitch (A4 = 440 Hz): A6 (1760 Hz, -20¢)
Scientific pitch (C4 = 256 Hz): A6 (1722.2 Hz, +18¢)
Baroque pitch (A4 = 415 Hz): A♯6 (1758.7 Hz, -19¢)

Position in π

The digit sequence 1740 first appears in π at position 22,473 of the decimal expansion (the 22,473ordinal-suffix:rd 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.

Look up 1740 on Pi Search ↗