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34004681 = 792391801
BaseRepresentation
bin1000000110110…
…1111011001001
32100222121122122
42001231323021
532201122211
63212501025
7562015004
oct201557311
970877578
1034004681
1118216247
12b47a775
137077a19
14473253b
152eba6db
hex206dec9

34004681 has 8 divisors (see below), whose sum is σ = 34598400. Its totient is φ = 33415200.

The previous prime is 34004657. The next prime is 34004683. The reversal of 34004681 is 18640043.

34004681 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34004681 is a prime.

It is a super-2 number, since 2×340046812 = 2312636659823522, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 34004681.

It is not an unprimeable number, because it can be changed into a prime (34004683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17981 + ... + 19781.

It is an arithmetic number, because the mean of its divisors is an integer number (4324800).

Almost surely, 234004681 is an apocalyptic number.

It is an amenable number.

34004681 is a deficient number, since it is larger than the sum of its proper divisors (593719).

34004681 is a wasteful number, since it uses less digits than its factorization.

34004681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2119.

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 34004681 is about 5831.3532734692. The cubic root of 34004681 is about 323.9760467228.

The spelling of 34004681 in words is "thirty-four million, four thousand, six hundred eighty-one".

Divisors: 1 79 239 1801 18881 142279 430439 34004681