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34768575 = 3352192711
BaseRepresentation
bin1000010010100…
…0011010111111
32102102102112000
42010220122333
532400043300
63241113343
7601346052
oct204503277
972372460
1034768575
1118698166
12b788853
13728462a
144890a99
1530bbc00
hex21286bf

34768575 has 48 divisors (see below), whose sum is σ = 67257600. Its totient is φ = 17560800.

The previous prime is 34768561. The next prime is 34768603. The reversal of 34768575 is 57586743.

34768575 is a `hidden beast` number, since 3 + 4 + 76 + 8 + 575 = 666.

34768575 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 34768575 - 28 = 34768319 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 34768575.

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 47 ways as a sum of consecutive naturals, for example, 11470 + ... + 14180.

It is an arithmetic number, because the mean of its divisors is an integer number (1401200).

Almost surely, 234768575 is an apocalyptic number.

34768575 is a deficient number, since it is larger than the sum of its proper divisors (32489025).

34768575 is a wasteful number, since it uses less digits than its factorization.

34768575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2749 (or 2738 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The square root of 34768575 is about 5896.4883617285. The cubic root of 34768575 is about 326.3840775375.

The spelling of 34768575 in words is "thirty-four million, seven hundred sixty-eight thousand, five hundred seventy-five".

Divisors: 1 3 5 9 15 19 25 27 45 57 75 95 135 171 225 285 475 513 675 855 1425 2565 2711 4275 8133 12825 13555 24399 40665 51509 67775 73197 121995 154527 203325 257545 365985 463581 609975 772635 1287725 1390743 1829925 2317905 3863175 6953715 11589525 34768575