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34944095 = 5173741271
BaseRepresentation
bin1000010101001…
…1010001011111
32102202100021202
42011103101133
532421202340
63244550115
7603006554
oct205232137
972670252
1034944095
11187a801a
12b85233b
1373164a4
1448d8a2b
153103c15
hex215345f

34944095 has 32 divisors (see below), whose sum is σ = 46884096. Its totient is φ = 24883200.

The previous prime is 34944083. The next prime is 34944121. The reversal of 34944095 is 59044943.

34944095 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 34944095 - 26 = 34944031 is a prime.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 128810 + ... + 129080.

It is an arithmetic number, because the mean of its divisors is an integer number (1465128).

Almost surely, 234944095 is an apocalyptic number.

34944095 is a deficient number, since it is larger than the sum of its proper divisors (11940001).

34944095 is a wasteful number, since it uses less digits than its factorization.

34944095 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371.

The product of its (nonzero) digits is 77760, while the sum is 38.

The square root of 34944095 is about 5911.3530600024. The cubic root of 34944095 is about 326.9323772920.

It can be divided in two parts, 349 and 44095, that added together give a palindrome (44444).

The spelling of 34944095 in words is "thirty-four million, nine hundred forty-four thousand, ninety-five".

Divisors: 1 5 17 37 41 85 185 205 271 629 697 1355 1517 3145 3485 4607 7585 10027 11111 23035 25789 50135 55555 128945 170459 188887 411107 852295 944435 2055535 6988819 34944095