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1033430442 = 2311177989131
BaseRepresentation
bin111101100110001…
…110010110101010
32200000120201001120
4331212032112222
54104024233232
6250314000110
734416004512
oct7546162652
92600521046
101033430442
11490387650
1224a116036
13136143705
149b370842
1560ad692c
hex3d98e5aa

1033430442 has 128 divisors (see below), whose sum is σ = 2463436800. Its totient is φ = 285542400.

The previous prime is 1033430429. The next prime is 1033430467. The reversal of 1033430442 is 2440343301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7888717 + ... + 7888847.

It is an arithmetic number, because the mean of its divisors is an integer number (19245600).

Almost surely, 21033430442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1033430442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1231718400).

1033430442 is an abundant number, since it is smaller than the sum of its proper divisors (1430006358).

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

1033430442 is a wasteful number, since it uses less digits than its factorization.

1033430442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332.

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 1033430442 is about 32147.0129561053. The cubic root of 1033430442 is about 1011.0215596099.

Adding to 1033430442 its reverse (2440343301), we get a palindrome (3473773743).

The spelling of 1033430442 in words is "one billion, thirty-three million, four hundred thirty thousand, four hundred forty-two".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 79 89 102 131 158 178 187 237 262 267 374 393 474 534 561 786 869 979 1122 1343 1441 1513 1738 1958 2227 2607 2686 2882 2937 3026 4029 4323 4454 4539 5214 5874 6681 7031 8058 8646 9078 10349 11659 13362 14062 14773 16643 20698 21093 23318 24497 29546 31047 33286 34977 42186 44319 48994 49929 62094 69954 73491 77341 88638 99858 113839 119527 128249 146982 154682 175933 198203 227678 232023 239054 256498 341517 351866 358581 384747 396406 464046 527799 594609 683034 717162 769494 921061 1055598 1189218 1314797 1842122 1935263 2180233 2629594 2763183 3870526 3944391 4360466 5526366 5805789 6540699 7888782 10131671 11611578 13081398 15658037 20263342 30395013 31316074 46974111 60790026 93948222 172238407 344476814 516715221 1033430442