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116334834 = 237111929457
BaseRepresentation
bin1101110111100…
…10000011110010
322002220102101120
412323302003302
5214240203314
615313243110
72611554420
oct673620362
9262812346
10116334834
115a7390a0
1232b63496
131b1428a5
1411644110
15a32e8a9
hex6ef20f2

116334834 has 128 divisors (see below), whose sum is σ = 316569600. Its totient is φ = 27578880.

The previous prime is 116334833. The next prime is 116334839. The reversal of 116334834 is 438433611.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 116334795 and 116334804.

It is not an unprimeable number, because it can be changed into a prime (116334833) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 254334 + ... + 254790.

It is an arithmetic number, because the mean of its divisors is an integer number (2473200).

Almost surely, 2116334834 is an apocalyptic number.

116334834 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 116334834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158284800).

116334834 is an abundant number, since it is smaller than the sum of its proper divisors (200234766).

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

116334834 is a wasteful number, since it uses less digits than its factorization.

116334834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528.

The product of its digits is 20736, while the sum is 33.

The square root of 116334834 is about 10785.8626915050. The cubic root of 116334834 is about 488.1686939180.

The spelling of 116334834 in words is "one hundred sixteen million, three hundred thirty-four thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 7 11 14 19 21 22 29 33 38 42 57 58 66 77 87 114 133 154 174 203 209 231 266 319 399 406 418 457 462 551 609 627 638 798 914 957 1102 1218 1254 1371 1463 1653 1914 2233 2742 2926 3199 3306 3857 4389 4466 5027 6061 6398 6699 7714 8683 8778 9597 10054 11571 12122 13253 13398 15081 17366 18183 19194 23142 26049 26506 30162 35189 36366 39759 42427 52098 60781 70378 79518 84854 92771 95513 105567 121562 127281 145783 182343 185542 191026 211134 251807 254562 278313 286539 291566 364686 437349 503614 556626 573078 668591 755421 874698 1020481 1337182 1510842 1762649 2005773 2040962 2769877 3061443 3525298 4011546 5287947 5539754 6122886 8309631 10575894 16619262 19389139 38778278 58167417 116334834