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27340794 = 23313172979
BaseRepresentation
bin110100001001…
…0111111111010
31220110001112000
41220102333322
523444401134
62414001430
7451251525
oct150227772
956401460
1027340794
11144845a8
1291a6276
1358837b0
1438b9bbc
152600e99
hex1a12ffa

27340794 has 128 divisors (see below), whose sum is σ = 72576000. Its totient is φ = 7547904.

The previous prime is 27340787. The next prime is 27340799. The reversal of 27340794 is 49704372.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27340799) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 346047 + ... + 346125.

It is an arithmetic number, because the mean of its divisors is an integer number (567000).

Almost surely, 227340794 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27340794, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36288000).

27340794 is an abundant number, since it is smaller than the sum of its proper divisors (45235206).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

27340794 is a wasteful number, since it uses less digits than its factorization.

27340794 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 143 counting only the distinct ones).

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

The square root of 27340794 is about 5228.8425105371. The cubic root of 27340794 is about 301.2569264318.

The spelling of 27340794 in words is "twenty-seven million, three hundred forty thousand, seven hundred ninety-four".

Divisors: 1 2 3 6 9 13 17 18 26 27 29 34 39 51 54 58 78 79 87 102 117 153 158 174 221 234 237 261 306 351 377 442 459 474 493 522 663 702 711 754 783 918 986 1027 1131 1326 1343 1422 1479 1566 1989 2054 2133 2262 2291 2686 2958 3081 3393 3978 4029 4266 4437 4582 5967 6162 6409 6786 6873 8058 8874 9243 10179 11934 12087 12818 13311 13746 17459 18486 19227 20358 20619 24174 26622 27729 29783 34918 36261 38454 38947 41238 52377 55458 57681 59566 61857 72522 77894 89349 104754 115362 116841 123714 157131 173043 178698 233682 268047 314262 346086 350523 471393 506311 536094 701046 804141 942786 1012622 1051569 1518933 1608282 2103138 3037866 4556799 9113598 13670397 27340794