340
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 7
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 756
- Proper Divisor Sum (Aliquot Sum)
- 416
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 128
- Möbius Function
- 0
- Radical
- 170
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 3
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 11
- Smith Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Names
- German
- dreihundertvierzig· ordinal: dreihundertvierzigste
- English
- three hundred forty· ordinal: three hundred fortieth
- Spanish
- trescientos cuarenta· ordinal: 340º
- French
- trois cent quarante· ordinal: trois cent quarantième
- Italian
- trecentoquaranta· ordinal: 340º
- Latin
- trecenti quadraginta· ordinal: 340.
- Portuguese
- trezentos e quarenta· ordinal: 340º
Appears in sequences
- Expansion of Product_{m >= 1} (1 + x^m); number of partitions of n into distinct parts; number of partitions of n into odd parts.at n=31A000009
- Numbers k such that k^4 + 1 is prime.at n=48A000068
- Let A(n) = #{(i,j): i^2 + j^2 <= n}, V(n) = Pi*n, P(n) = A(n) - V(n); sequence gives values of n where |P(n)| sets a new record.at n=14A000099
- a(n) = (n+1)*(n+3)*(n+8)/6.at n=10A000297
- Numbers that are the sum of 2 squares but not sum of 3 nonzero squares.at n=27A000549
- Moser-de Bruijn sequence: sums of distinct powers of 4.at n=30A000695
- Numbers that are the sum of 2 successive primes.at n=38A001043
- Numbers y such that p^2 = x^2 + y^2, 0 < x < y, p = A002144(n).at n=35A002365
- Numbers k such that (k^2 + k + 1)/21 is prime.at n=19A002644
- Numbers k such that k! + 1 is prime.at n=13A002981
- Negated discriminants of orders of imaginary quadratic fields with 1 class per genus (a finite sequence).at n=55A003171
- Numbers that are the sum of 5 positive 4th powers.at n=22A003339
- Numbers that are the sum of 10 positive 4th powers.at n=37A003344
- Numbers that are the sum of 5 positive 5th powers.at n=9A003350
- Numbers of edges of regular polygons constructible with ruler (or, more precisely, an unmarked straightedge) and compass.at n=40A003401
- Discriminants of the known imaginary quadratic fields with 1 class per genus (a finite sequence).at n=33A003644
- Inverse Möbius transform of A003959.at n=53A003969
- Number of partitions of 1/n into 3 reciprocals of positive integers.at n=27A004194
- a(n) = floor(100*log(n)).at n=29A004237
- a(n) = 100*log(n) rounded to nearest integer.at n=29A004238