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34453 = 131263
BaseRepresentation
bin1000011010010101
31202021001
420122111
52100303
6423301
7202306
oct103225
952231
1034453
1123981
1217b31
13128b3
15a31d
hex8695

34453 has 4 divisors (see below), whose sum is σ = 34848. Its totient is φ = 34060.

The previous prime is 34439. The next prime is 34457. The reversal of 34453 is 35443.

34453 is a nontrivial binomial coefficient, being equal to C(263, 2).

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length.

It is not a de Polignac number, because 34453 - 25 = 34421 is a prime.

It is a Duffinian number.

34453 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 34453.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1 + ... + 262.

It is an arithmetic number, because the mean of its divisors is an integer number (8712).

234453 is an apocalyptic number.

34453 is the 262-nd triangular number.

34453 is the 88-th centered nonagonal number.

It is an amenable number.

34453 is a deficient number, since it is larger than the sum of its proper divisors (395).

34453 is a wasteful number, since it uses less digits than its factorization.

34453 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394.

The product of its digits is 720, while the sum is 19.

The square root of 34453 is about 185.6151933436. The cubic root of 34453 is about 32.5393605953.

Subtracting from 34453 its product of digits (720), we obtain a palindrome (33733).

Adding to 34453 its reverse (35443), we get a palindrome (69896).

Subtracting 34453 from its reverse (35443), we obtain a triangular number (990 = T44).

The spelling of 34453 in words is "thirty-four thousand, four hundred fifty-three".

Divisors: 1 131 263 34453