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34363134 = 232131959131
BaseRepresentation
bin1000001100010…
…1011011111110
32101122211100200
42003011123332
532244110014
63224304330
7565040031
oct203053376
971584320
1034363134
1118440593
12b6120a6
137171c20
1447c7018
15303ba09
hex20c56fe

34363134 has 96 divisors (see below), whose sum is σ = 86486400. Its totient is φ = 9771840.

The previous prime is 34363111. The next prime is 34363141. The reversal of 34363134 is 43136343.

34363134 is a `hidden beast` number, since 343 + 6 + 313 + 4 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 34363098 and 34363107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 262249 + ... + 262379.

It is an arithmetic number, because the mean of its divisors is an integer number (900900).

Almost surely, 234363134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34363134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43243200).

34363134 is an abundant number, since it is smaller than the sum of its proper divisors (52123266).

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

34363134 is a wasteful number, since it uses less digits than its factorization.

34363134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 227 counting only the distinct ones).

The product of its digits is 7776, while the sum is 27.

The square root of 34363134 is about 5862.0076765559. The cubic root of 34363134 is about 325.1104445148.

Adding to 34363134 its reverse (43136343), we get a palindrome (77499477).

The spelling of 34363134 in words is "thirty-four million, three hundred sixty-three thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 19 26 38 39 57 59 78 114 117 118 131 171 177 234 247 262 342 354 393 494 531 741 767 786 1062 1121 1179 1482 1534 1703 2223 2242 2301 2358 2489 3363 3406 4446 4602 4978 5109 6726 6903 7467 7729 10089 10218 13806 14573 14934 15327 15458 20178 22401 23187 29146 30654 32357 43719 44802 46374 64714 69561 87438 97071 100477 131157 139122 146851 194142 200954 262314 291213 293702 301431 440553 582426 602862 881106 904293 1321659 1808586 1909063 2643318 3818126 5727189 11454378 17181567 34363134