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34764093 = 3371314149
BaseRepresentation
bin1000010010011…
…1010100111101
32102102012101000
42010213110331
532344422333
63241040513
7601330020
oct204472475
972365330
1034764093
1118694861
12b786139
137282590
14488d1b7
1530ba713
hex212753d

34764093 has 32 divisors (see below), whose sum is σ = 63392000. Its totient is φ = 18335808.

The previous prime is 34764077. The next prime is 34764097. The reversal of 34764093 is 39046743.

34764093 is a `hidden beast` number, since 3 + 4 + 7 + 640 + 9 + 3 = 666.

34764093 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 34764093 - 24 = 34764077 is a prime.

It is a super-2 number, since 2×347640932 = 2417084324225298, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34764097) 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 31 ways as a sum of consecutive naturals, for example, 4618 + ... + 9531.

It is an arithmetic number, because the mean of its divisors is an integer number (1981000).

Almost surely, 234764093 is an apocalyptic number.

It is an amenable number.

34764093 is a deficient number, since it is larger than the sum of its proper divisors (28627907).

34764093 is a wasteful number, since it uses less digits than its factorization.

34764093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14178 (or 14172 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 34764093 is about 5896.1082927640. The cubic root of 34764093 is about 326.3700522642.

It can be divided in two parts, 3476 and 4093, that added together give a square (7569 = 872).

The spelling of 34764093 in words is "thirty-four million, seven hundred sixty-four thousand, ninety-three".

Divisors: 1 3 7 9 13 21 27 39 63 91 117 189 273 351 819 2457 14149 42447 99043 127341 183937 297129 382023 551811 891387 1287559 1655433 2674161 3862677 4966299 11588031 34764093