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110050434 = 23313231389
BaseRepresentation
bin1101000111100…
…11110010000010
321200002010211000
412203303302002
5211133103214
614530432430
72504261514
oct643636202
9250063730
10110050434
115713657a
1230a32716
1319a52300
1410889bb4
1599dc809
hex68f3c82

110050434 has 96 divisors (see below), whose sum is σ = 274060800. Its totient is φ = 32685120.

The previous prime is 110050427. The next prime is 110050439. The reversal of 110050434 is 434050011.

It is a happy number.

It is a super-2 number, since 2×1100504342 = 24222196047176712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110050439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 282712 + ... + 283100.

It is an arithmetic number, because the mean of its divisors is an integer number (2854800).

Almost surely, 2110050434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110050434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137030400).

110050434 is an abundant number, since it is smaller than the sum of its proper divisors (164010366).

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

110050434 is a wasteful number, since it uses less digits than its factorization.

110050434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 110050434 is about 10490.4925527832. The cubic root of 110050434 is about 479.2152019326.

The spelling of 110050434 in words is "one hundred ten million, fifty thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 27 31 39 54 62 78 93 117 169 186 234 279 338 351 389 403 507 558 702 778 806 837 1014 1167 1209 1521 1674 2334 2418 3042 3501 3627 4563 5057 5239 7002 7254 9126 10114 10478 10503 10881 12059 15171 15717 21006 21762 24118 30342 31434 36177 45513 47151 65741 72354 91026 94302 108531 131482 136539 141453 156767 197223 217062 273078 282906 313534 325593 394446 470301 591669 651186 940602 1183338 1410903 1775007 2037971 2821806 3550014 4075942 4232709 6113913 8465418 12227826 18341739 36683478 55025217 110050434