Live analysis

3,438

3,438 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

3,438 (three thousand four hundred thirty-eight) is an even 4-digit number. It is a composite number with 12 divisors, and factors as 2 × 3² × 191. Its proper divisors sum to 4,050, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MMMCDXXXVIII and in binary, 110101101110.

Abundant Number Arithmetic Number Cube-Free Evil Number Harshad / Niven Moran Number Recamán's Sequence Self Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

3,426 3,427 3,428 3,429 3,430 3,431 3,432 3,433 3,434 3,435 3,436 3,437 3,438 3,439 3,440 3,441 3,442 3,443 3,444 3,445 3,446 3,447 3,448 3,449 3,450

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 18
Digit product: 288
Digital root: 9
Palindrome: No
Bit width: 12 bits
Reversed: 8,343
Recamán's sequence: a(15,015) = 3,438
Square (n²): 11,819,844
Cube (n³): 40,636,623,672
Divisor count: 12
σ(n) — sum of divisors: 7,488
φ(n) — Euler's totient: 1,140
Sum of prime factors: 199

Primality

Prime factorization: 2 × 3 ² × 191

Nearest primes: 3,433 (−5) · 3,449 (+11)

Divisors & multiples

All divisors (12)

1 · 2 · 3 · 6 · 9 · 18 · 191 · 382 · 573 · 1146 · 1719 (half) · 3438

Aliquot sum (sum of proper divisors): 4,050

Factor pairs (a × b = 3,438)

1 × 3438

2 × 1719

3 × 1146

6 × 573

9 × 382

18 × 191

First multiples

3,438 · 6,876 (double) · 10,314 · 13,752 · 17,190 · 20,628 · 24,066 · 27,504 · 30,942 · 34,380

Sums & aliquot sequence

As consecutive integers: 1,145 + 1,146 + 1,147 858 + 859 + 860 + 861 378 + 379 + … + 386 281 + 282 + … + 292

Aliquot sequence: 3,438 → 4,050 → 7,203 → 4,001 → 1 → 0 — terminates at zero

Continued fraction of √n

√3,438 = [58; (1, 1, 1, 2, 1, 3, 1, 1, 1, 1, 1, 1, 7, 1, 3, 6, 3, 1, 7, 1, 1, 1, 1, 1, …)]

Period length 32 — the block in parentheses repeats forever.

Representations

In words: three thousand four hundred thirty-eight
Ordinal: 3438th
Roman numeral: MMMCDXXXVIII
Binary: 110101101110
Octal: 6556
Hexadecimal: 0xD6E
Base64: DW4=
One's complement: 62,097 (16-bit)
Scientific notation: 3.438 × 10³
As a duration: 3,438 s = 57 minutes, 18 seconds

In other bases

ternary (3) 11201100

quaternary (4) 311232

quinary (5) 102223

senary (6) 23530

septenary (7) 13011

nonary (9) 4640

undecimal (11) 2646

duodecimal (12) 1ba6

tridecimal (13) 1746

tetradecimal (14) 1378

pentadecimal (15) 1043

Palindromic in base 8

As an angle

3,438° = 9 × 360° + 198°

198° ≈ 3.456 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵γυληʹ
Mayan (base 20): 𝋨·𝋫·𝋲
Chinese: 三千四百三十八
Chinese (financial): 參仟肆佰參拾捌

In other modern scripts

Eastern Arabic ٣٤٣٨ Devanagari ३४३८ Bengali ৩৪৩৮ Tamil ௩௪௩௮ Thai ๓๔๓๘ Tibetan ༣༤༣༨ Khmer ៣៤៣៨ Lao ໓໔໓໘ Burmese ၃၄၃၈

Digit at this position in famous constants

π — Pi (π): Digit 3,438 = 8
e — Euler's number (e): Digit 3,438 = 7
φ — Golden ratio (φ): Digit 3,438 = 7
√2 — Pythagoras's (√2): Digit 3,438 = 1
ln 2 — Natural log of 2: Digit 3,438 = 0
γ — Euler-Mascheroni (γ): Digit 3,438 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 3438, here are decompositions:

5 + 3433 = 3438
31 + 3407 = 3438
47 + 3391 = 3438
67 + 3371 = 3438
79 + 3359 = 3438
107 + 3331 = 3438
109 + 3329 = 3438
131 + 3307 = 3438

Showing the first eight; more decompositions exist.

Unicode codepoint

൮

Malayalam Digit Eight

U+0D6E

Decimal digit (Nd)

UTF-8 encoding: E0 B5 AE (3 bytes).

Lookup U+0D6E on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000D6E

RGB(0, 13, 110)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.13.110.

Address: 0.0.13.110
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.13.110

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

Musical pitch

Heard as a frequency, 3,438 Hz is closest to:

Concert pitch (A4 = 440 Hz): A7 (3520 Hz, -41¢)
Scientific pitch (C4 = 256 Hz): A7 (3444.3 Hz, -3¢)
Baroque pitch (A4 = 415 Hz): A♯7 (3517.4 Hz, -40¢)

Position in π

The digit sequence 3438 first appears in π at position 9,594 of the decimal expansion (the 9,594ordinal-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.

Look up 3438 on Pi Search ↗