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34009 = 71479
BaseRepresentation
bin1000010011011001
31201122121
420103121
52042014
6421241
7201103
oct102331
951577
1034009
1123608
1217821
1312631
14c573
15a124
hex84d9

34009 has 4 divisors (see below), whose sum is σ = 34560. Its totient is φ = 33460.

The previous prime is 33997. The next prime is 34019. The reversal of 34009 is 90043.

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 an emirpimes, since its reverse is a distinct semiprime: 90043 = 127709.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34009 is a prime.

It is a super-2 number, since 2×340092 = 2313224162, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 33983 and 34001.

It is not an unprimeable number, because it can be changed into a prime (34019) 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, 169 + ... + 310.

It is an arithmetic number, because the mean of its divisors is an integer number (8640).

234009 is an apocalyptic number.

It is an amenable number.

34009 is a deficient number, since it is larger than the sum of its proper divisors (551).

34009 is an equidigital number, since it uses as much as digits as its factorization.

34009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550.

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 34009 is about 184.4152922076. The cubic root of 34009 is about 32.3989762416.

The spelling of 34009 in words is "thirty-four thousand, nine".

Divisors: 1 71 479 34009