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108705344 = 26111731293
BaseRepresentation
bin1100111101010…
…11011001000000
321120112210200212
412132223121000
5210312032334
614441533252
72456660126
oct636533100
9246483625
10108705344
11563a7a30
12304a4228
13196a0cb7
1410619916
159823ece
hex67ab640

108705344 has 112 divisors (see below), whose sum is σ = 258080256. Its totient is φ = 44851200.

The previous prime is 108705307. The next prime is 108705347. The reversal of 108705344 is 443507801.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 108705344.

It is not an unprimeable number, because it can be changed into a prime (108705347) 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 15 ways as a sum of consecutive naturals, for example, 370862 + ... + 371154.

It is an arithmetic number, because the mean of its divisors is an integer number (2304288).

Almost surely, 2108705344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108705344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129040128).

108705344 is an abundant number, since it is smaller than the sum of its proper divisors (149374912).

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

108705344 is a wasteful number, since it uses less digits than its factorization.

108705344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 108705344 is about 10426.1854961438. The cubic root of 108705344 is about 477.2547925525.

The spelling of 108705344 in words is "one hundred eight million, seven hundred five thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 17 22 31 32 34 44 62 64 68 88 124 136 176 187 248 272 293 341 352 374 496 527 544 586 682 704 748 992 1054 1088 1172 1364 1496 1984 2108 2344 2728 2992 3223 4216 4688 4981 5456 5797 5984 6446 8432 9083 9376 9962 10912 11594 11968 12892 16864 18166 18752 19924 21824 23188 25784 33728 36332 39848 46376 51568 54791 72664 79696 92752 99913 103136 109582 145328 154411 159392 185504 199826 206272 219164 290656 308822 318784 371008 399652 438328 581312 617644 799304 876656 1235288 1598608 1698521 1753312 2470576 3197216 3397042 3506624 4941152 6394432 6794084 9882304 13588168 27176336 54352672 108705344