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34853 = 713383
BaseRepresentation
bin1000100000100101
31202210212
420200211
52103403
6425205
7203420
oct104045
952725
1034853
1124205
1218205
1312b30
14c9b7
15a4d8
hex8825

34853 has 8 divisors (see below), whose sum is σ = 43008. Its totient is φ = 27504.

The previous prime is 34849. The next prime is 34871. The reversal of 34853 is 35843.

34853 is nontrivially palindromic in base 9.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 34853 - 22 = 34849 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 34853.

It is not an unprimeable number, because it can be changed into a prime (34843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 101 + ... + 282.

It is an arithmetic number, because the mean of its divisors is an integer number (5376).

234853 is an apocalyptic number.

It is an amenable number.

34853 is a deficient number, since it is larger than the sum of its proper divisors (8155).

34853 is a wasteful number, since it uses less digits than its factorization.

34853 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403.

The product of its digits is 1440, while the sum is 23.

The square root of 34853 is about 186.6895819268. The cubic root of 34853 is about 32.6648039106.

Subtracting 34853 from its reverse (35843), we obtain a triangular number (990 = T44).

The spelling of 34853 in words is "thirty-four thousand, eight hundred fifty-three".

Divisors: 1 7 13 91 383 2681 4979 34853