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103444341 = 37311131937
BaseRepresentation
bin1100010101001…
…10111101110101
321012122111221220
412022212331311
5202440204331
614133100553
72364156000
oct612467565
9235574856
10103444341
11534342a0
122a787759
131857b490
14da4a537
159135296
hex62a6f75

103444341 has 128 divisors (see below), whose sum is σ = 204288000. Its totient is φ = 45722880.

The previous prime is 103444291. The next prime is 103444343. The reversal of 103444341 is 143444301.

It is not a de Polignac number, because 103444341 - 217 = 103313269 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103444343) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2795775 + ... + 2795811.

It is an arithmetic number, because the mean of its divisors is an integer number (1596000).

Almost surely, 2103444341 is an apocalyptic number.

103444341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

103444341 is a deficient number, since it is larger than the sum of its proper divisors (100843659).

103444341 is a wasteful number, since it uses less digits than its factorization.

103444341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 103444341 is about 10170.7591162115. The cubic root of 103444341 is about 469.4279156810.

Adding to 103444341 its reverse (143444301), we get a palindrome (246888642).

It can be divided in two parts, 103 and 444341, that added together give a palindrome (444444).

The spelling of 103444341 in words is "one hundred three million, four hundred forty-four thousand, three hundred forty-one".

Divisors: 1 3 7 11 13 19 21 33 37 39 49 57 77 91 111 133 143 147 209 231 247 259 273 343 399 407 429 481 539 627 637 703 741 777 931 1001 1029 1221 1443 1463 1617 1729 1813 1911 2109 2717 2793 2849 3003 3367 3773 4389 4459 4921 5187 5291 5439 6517 7007 7733 8151 8547 9139 10101 10241 11319 12103 12691 13377 14763 15873 19019 19551 19943 21021 23199 23569 27417 30723 34447 36309 37037 38073 49049 54131 57057 59829 63973 70707 71687 84721 100529 103341 111111 133133 139601 147147 162393 164983 191919 215061 241129 254163 259259 301587 378917 399399 418803 447811 494949 703703 723387 777777 931931 1136751 1343433 1814813 2111109 2652419 2795793 3134677 4925921 5444439 7957257 9404031 14777763 34481447 103444341