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2041535034 = 2327111977477
BaseRepresentation
bin111100110101111…
…0101101000111010
312021021111201120200
41321223311220322
513140113110114
6534325103030
7101406522120
oct17153655072
95237451520
102041535034
11958436540
1248b857a76
13266c5a7c6
141551cb910
15be369409
hex79af5a3a

2041535034 has 96 divisors (see below), whose sum is σ = 5543531136. Its totient is φ = 527506560.

The previous prime is 2041535029. The next prime is 2041535057. The reversal of 2041535034 is 4305351402.

2041535034 is a `hidden beast` number, since 2 + 0 + 4 + 153 + 503 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2041534989 and 2041535007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 269304 + ... + 276780.

It is an arithmetic number, because the mean of its divisors is an integer number (57745116).

Almost surely, 22041535034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2041535034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2771765568).

2041535034 is an abundant number, since it is smaller than the sum of its proper divisors (3501996102).

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

2041535034 is a wasteful number, since it uses less digits than its factorization.

2041535034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7700 (or 7697 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 2041535034 is about 45183.3490790579. The cubic root of 2041535034 is about 1268.5831708168.

Adding to 2041535034 its reverse (4305351402), we get a palindrome (6346886436).

The spelling of 2041535034 in words is "two billion, forty-one million, five hundred thirty-five thousand, thirty-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 197 198 231 394 462 591 693 1182 1379 1386 1773 2167 2758 3546 4137 4334 6501 7477 8274 12411 13002 14954 15169 19503 22431 24822 30338 39006 44862 45507 52339 67293 82247 91014 104678 134586 136521 157017 164494 246741 273042 314034 471051 493482 575729 740223 942102 1151458 1472969 1480446 1727187 2945938 3454374 4418907 5181561 8837814 10310783 10363122 13256721 16202659 20621566 26513442 30932349 32405318 48607977 61864698 92797047 97215954 113418613 145823931 185594094 226837226 291647862 340255839 680511678 1020767517 2041535034