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34047 = 331397
BaseRepresentation
bin1000010011111111
31201201000
420103333
52042142
6421343
7201156
oct102377
951630
1034047
1123642
1217853
1312660
14c59d
15a14c
hex84ff

34047 has 16 divisors (see below), whose sum is σ = 54880. Its totient is φ = 20736.

The previous prime is 34039. The next prime is 34057. The reversal of 34047 is 74043.

It is not a de Polignac number, because 34047 - 23 = 34039 is a prime.

It is a Duffinian number.

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 34047.

It is not an unprimeable number, because it can be changed into a prime (34057) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 303 + ... + 399.

It is an arithmetic number, because the mean of its divisors is an integer number (3430).

234047 is an apocalyptic number.

34047 is the 117-th heptagonal number.

34047 is a deficient number, since it is larger than the sum of its proper divisors (20833).

34047 is a wasteful number, since it uses less digits than its factorization.

34047 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 34047 is about 184.5182917762. The cubic root of 34047 is about 32.4110387626.

The spelling of 34047 in words is "thirty-four thousand, forty-seven".

Divisors: 1 3 9 13 27 39 97 117 291 351 873 1261 2619 3783 11349 34047