• 34 can be written using four 4's:
• On a 8×8 grid it is possible to select at most 34 points in such a way there are no 4 points which are the vertices of a square.
34 has 4 divisors (see below), whose sum is σ = 54. Its totient is φ = 16.
The previous prime is 31. The next prime is 37. The reversal of 34 is 43.
It is the 9-th Fibonacci number F9.
34 is nontrivially palindromic in base 4 and base 16.
34 is an esthetic number in base 6 and base 10, because in such bases its adjacent digits differ by 1.
It is a semiprime because it is the product of two primes.
It is an interprime number because it is at equal distance from previous prime (31) and next prime (37).
It can be written as a sum of positive squares in only one way, i.e., 25 + 9 = 5^2 + 3^2 .
It is a magnanimous number.
It is an alternating number because its digits alternate between odd and even.
34 is an undulating number in base 4.
34 is a nontrivial repdigit in base 16.
It is a plaindrome in base 5, base 7, base 9, base 10, base 12, base 13, base 14, base 15 and base 16.
It is a nialpdrome in base 6, base 8, base 11 and base 16.
It is a zygodrome in base 16.
It is a congruent number.
It is a panconsummate number.
It is a pernicious number, because its binary representation contains a prime number (2) of ones.
A polygon with 34 sides can be constructed with ruler and compass.
It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7 + ... + 10.
It is the magic constant of a 4 × 4 magic square.
34 is the 4-th heptagonal number.
34 is a deficient number, since it is larger than the sum of its proper divisors (20).
34 is a wasteful number, since it uses less digits than its factorization.
34 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 19.
The product of its digits is 12, while the sum is 7.
The square root of 34 is about 5.8309518948. The cubic root of 34 is about 3.2396118013.
Subtracting from 34 its product of digits (12), we obtain a palindrome (22).
Adding to 34 its reverse (43), we get a palindrome (77).
The spelling of 34 in words is "thirty-four", and thus it is an aban number and an eban number.
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