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34008126 = 23172911497
BaseRepresentation
bin1000000110111…
…0110000111110
32100222210101020
42001232300332
532201230001
63212525010
7562031025
oct201566076
970883336
1034008126
1118218899
12b480766
137079469
1447338bc
152ebb736
hex206ec3e

34008126 has 32 divisors (see below), whose sum is σ = 74507040. Its totient is φ = 10300416.

The previous prime is 34008113. The next prime is 34008127. The reversal of 34008126 is 62180043.

It is a happy number.

34008126 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 34008096 and 34008105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34008127) 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 15 ways as a sum of consecutive naturals, for example, 2791 + ... + 8706.

It is an arithmetic number, because the mean of its divisors is an integer number (2328345).

Almost surely, 234008126 is an apocalyptic number.

34008126 is an abundant number, since it is smaller than the sum of its proper divisors (40498914).

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

34008126 is a wasteful number, since it uses less digits than its factorization.

34008126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11548.

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 34008126 is about 5831.6486519680. The cubic root of 34008126 is about 323.9869869793.

Adding to 34008126 its reverse (62180043), we get a palindrome (96188169).

The spelling of 34008126 in words is "thirty-four million, eight thousand, one hundred twenty-six".

Divisors: 1 2 3 6 17 29 34 51 58 87 102 174 493 986 1479 2958 11497 22994 34491 68982 195449 333413 390898 586347 666826 1000239 1172694 2000478 5668021 11336042 17004063 34008126