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3440002041 = 35719163653
BaseRepresentation
bin1100110100001010…
…0100001111111001
322212201222012200000
43031002210033321
524021120031131
61325203103213
7151150351320
oct31502441771
98781865600
103440002041
1115058784a3
12800071b09
1342a8c0588
14248c210b7
15152009ce6
hexcd0a43f9

3440002041 has 96 divisors (see below), whose sum is σ = 6246589440. Its totient is φ = 1847997504.

The previous prime is 3440002039. The next prime is 3440002087. The reversal of 3440002041 is 1402000443.

3440002041 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 3440002041 - 21 = 3440002039 is a prime.

It is a super-2 number, since 2×34400020412 = 23667228084168331362, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3440002001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5267671 + ... + 5268323.

It is an arithmetic number, because the mean of its divisors is an integer number (65068640).

Almost surely, 23440002041 is an apocalyptic number.

It is an amenable number.

3440002041 is a deficient number, since it is larger than the sum of its proper divisors (2806587399).

3440002041 is a wasteful number, since it uses less digits than its factorization.

3440002041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 3440002041 is about 58651.5305938387. The cubic root of 3440002041 is about 1509.5687614068.

Adding to 3440002041 its reverse (1402000443), we get a palindrome (4842002484).

The spelling of 3440002041 in words is "three billion, four hundred forty million, two thousand, forty-one".

Divisors: 1 3 7 9 19 21 27 57 63 81 133 163 171 189 243 399 489 513 567 653 1141 1197 1467 1539 1701 1959 3097 3423 3591 4401 4571 4617 5877 9291 10269 10773 12407 13203 13713 17631 21679 27873 30807 32319 37221 39609 41139 52893 65037 83619 86849 92421 106439 111663 123417 158679 195111 250857 260547 277263 319317 334989 370251 585333 745073 752571 781641 957951 1004967 1110753 1755999 2022341 2235219 2344923 2873853 3014901 5267997 6067023 6705657 7034769 8621559 14156387 18201069 20116971 21104307 25864677 42469161 54603207 60350913 127407483 163809621 181052739 382222449 491428863 1146667347 3440002041