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34201134 = 23211241383
BaseRepresentation
bin1000001001110…
…1111000101110
32101100121010200
42002131320232
532223414014
63221014330
7563463522
oct202357056
971317120
1034201134
111833a900
12b5543a6
137116276
144783d82
153008a09
hex209de2e

34201134 has 72 divisors (see below), whose sum is σ = 83655936. Its totient is φ = 10084800.

The previous prime is 34201117. The next prime is 34201151. The reversal of 34201134 is 43110243.

34201134 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (34201117) and next prime (34201151).

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

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 89107 + ... + 89489.

It is an arithmetic number, because the mean of its divisors is an integer number (1161888).

Almost surely, 234201134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34201134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41827968).

34201134 is an abundant number, since it is smaller than the sum of its proper divisors (49454802).

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

34201134 is a wasteful number, since it uses less digits than its factorization.

34201134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 34201134 is about 5848.1735610360. The cubic root of 34201134 is about 324.5987442480.

Adding to 34201134 its reverse (43110243), we get a palindrome (77311377).

It can be divided in two parts, 3420 and 1134, that added together give a palindrome (4554).

The spelling of 34201134 in words is "thirty-four million, two hundred one thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 33 41 66 82 99 121 123 198 242 246 363 369 383 451 726 738 766 902 1089 1149 1353 2178 2298 2706 3447 4059 4213 4961 6894 8118 8426 9922 12639 14883 15703 25278 29766 31406 37917 44649 46343 47109 75834 89298 92686 94218 139029 141327 172733 278058 282654 345466 417087 518199 834174 1036398 1554597 1900063 3109194 3800126 5700189 11400378 17100567 34201134