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1034044011 = 3272111319863
BaseRepresentation
bin111101101000100…
…100001001101011
32200001201212201100
4331220210021223
54104203402021
6250335052443
734424141400
oct7550441153
92601655640
101034044011
11490766630
1224a371123
131362c9a80
149b4902a7
1560ba8626
hex3da2426b

1034044011 has 144 divisors (see below), whose sum is σ = 2151152640. Its totient is φ = 469203840.

The previous prime is 1034043961. The next prime is 1034044019. The reversal of 1034044011 is 1104404301.

1034044011 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 1034044011 - 210 = 1034042987 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1034044019) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1197766 + ... + 1198628.

It is an arithmetic number, because the mean of its divisors is an integer number (14938560).

Almost surely, 21034044011 is an apocalyptic number.

1034044011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1034044011 is an abundant number, since it is smaller than the sum of its proper divisors (1117108629).

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

1034044011 is a wasteful number, since it uses less digits than its factorization.

1034044011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1034044011 is about 32156.5547128420. The cubic root of 1034044011 is about 1011.2216081521.

Adding to 1034044011 its reverse (1104404301), we get a palindrome (2138448312).

The spelling of 1034044011 in words is "one billion, thirty-four million, forty-four thousand, eleven".

Divisors: 1 3 7 9 11 13 19 21 33 39 49 57 63 77 91 99 117 133 143 147 171 209 231 247 273 399 429 441 539 627 637 693 741 819 863 931 1001 1197 1287 1463 1617 1729 1881 1911 2223 2589 2717 2793 3003 4389 4851 5187 5733 6041 7007 7767 8151 8379 9009 9493 10241 11219 12103 13167 15561 16397 18123 19019 21021 24453 28479 30723 33657 36309 42287 49191 54369 57057 63063 66451 78533 85437 92169 100971 108927 114779 123409 126861 133133 147573 171171 180367 199353 213161 235599 344337 370227 380583 399399 465157 541101 549731 598059 639483 706797 803453 863863 1033011 1110681 1198197 1262569 1395471 1492127 1623303 1649193 1918449 2344771 2410359 2591589 3787707 4186413 4476381 4947579 6047041 7034313 7231077 7774767 8837983 10444889 11363121 13429143 16413397 18141123 21102939 26513949 31334667 49240191 54423369 79541847 94004001 114893779 147720573 344681337 1034044011