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34387067 = 11131911259
BaseRepresentation
bin1000001100101…
…1010001111011
32101201001012002
42003023101323
532300341232
63225011215
7565166561
oct203132173
971631162
1034387067
1118457570
12b623b0b
13717caa0
1447d1a31
153043b62
hex20cb47b

34387067 has 16 divisors (see below), whose sum is σ = 40642560. Its totient is φ = 28682400.

The previous prime is 34387063. The next prime is 34387117. The reversal of 34387067 is 76078343.

34387067 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 34387067 - 22 = 34387063 is a prime.

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 34387067.

It is not an unprimeable number, because it can be changed into a prime (34387061) 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 15 ways as a sum of consecutive naturals, for example, 26684 + ... + 27942.

It is an arithmetic number, because the mean of its divisors is an integer number (2540160).

Almost surely, 234387067 is an apocalyptic number.

34387067 is a deficient number, since it is larger than the sum of its proper divisors (6255493).

34387067 is a wasteful number, since it uses less digits than its factorization.

34387067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1474.

The product of its (nonzero) digits is 84672, while the sum is 38.

The square root of 34387067 is about 5864.0486867010. The cubic root of 34387067 is about 325.1859038969.

The spelling of 34387067 in words is "thirty-four million, three hundred eighty-seven thousand, sixty-seven".

Divisors: 1 11 13 143 191 1259 2101 2483 13849 16367 27313 180037 240469 2645159 3126097 34387067