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34381737 = 3213293861
BaseRepresentation
bin1000001100100…
…1111110101001
32101200202212200
42003021332221
532300203422
63224530413
7565145205
oct203117651
971622780
1034381737
1118453565
12b620a09
13717a530
1447cdb05
1530422ac
hex20c9fa9

34381737 has 12 divisors (see below), whose sum is σ = 53482884. Its totient is φ = 21157920.

The previous prime is 34381723. The next prime is 34381741. The reversal of 34381737 is 73718343.

34381737 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 8003241 + 26378496 = 2829^2 + 5136^2 .

It is not a de Polignac number, because 34381737 - 27 = 34381609 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (34381777) 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 11 ways as a sum of consecutive naturals, for example, 146814 + ... + 147047.

It is an arithmetic number, because the mean of its divisors is an integer number (4456907).

Almost surely, 234381737 is an apocalyptic number.

It is an amenable number.

34381737 is a deficient number, since it is larger than the sum of its proper divisors (19101147).

34381737 is a wasteful number, since it uses less digits than its factorization.

34381737 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293880 (or 293877 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 34381737 is about 5863.5942049224. The cubic root of 34381737 is about 325.1691017425.

The spelling of 34381737 in words is "thirty-four million, three hundred eighty-one thousand, seven hundred thirty-seven".

Divisors: 1 3 9 13 39 117 293861 881583 2644749 3820193 11460579 34381737