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34093 = 103331
BaseRepresentation
bin1000010100101101
31201202201
420110231
52042333
6421501
7201253
oct102455
951681
1034093
1123684
1217891
1312697
14c5d3
15a17d
hex852d

34093 has 4 divisors (see below), whose sum is σ = 34528. Its totient is φ = 33660.

The previous prime is 34061. The next prime is 34123. The reversal of 34093 is 39043.

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 a cyclic number.

It is not a de Polignac number, because 34093 - 25 = 34061 is a prime.

It is a Duffinian number.

34093 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 34093.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34033) 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, 63 + ... + 268.

It is an arithmetic number, because the mean of its divisors is an integer number (8632).

234093 is an apocalyptic number.

It is an amenable number.

34093 is a deficient number, since it is larger than the sum of its proper divisors (435).

34093 is a wasteful number, since it uses less digits than its factorization.

34093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434.

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 34093 is about 184.6428985908. The cubic root of 34093 is about 32.4256287593.

Subtracting 34093 from its reverse (39043), we obtain a triangular number (4950 = T99).

It can be divided in two parts, 3 and 4093, that added together give a 12-th power (4096 = 212).

The spelling of 34093 in words is "thirty-four thousand, ninety-three".

Divisors: 1 103 331 34093