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34142262 = 23711671103
BaseRepresentation
bin1000001000111…
…1100000110110
32101020121101020
42002033200312
532220023022
63215442010
7563130060
oct202174066
971217336
1034142262
11182aa650
12b526306
1370c552b
14476a730
152ee635c
hex208f836

34142262 has 64 divisors (see below), whose sum is σ = 86482944. Its totient is φ = 8727840.

The previous prime is 34142237. The next prime is 34142291. The reversal of 34142262 is 26224143.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30403 + ... + 31505.

It is an arithmetic number, because the mean of its divisors is an integer number (1351296).

Almost surely, 234142262 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34142262, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43241472).

34142262 is an abundant number, since it is smaller than the sum of its proper divisors (52340682).

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

34142262 is a wasteful number, since it uses less digits than its factorization.

34142262 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1193.

The product of its digits is 2304, while the sum is 24.

The square root of 34142262 is about 5843.1380267798. The cubic root of 34142262 is about 324.4123883159.

The spelling of 34142262 in words is "thirty-four million, one hundred forty-two thousand, two hundred sixty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 67 77 134 154 201 231 402 462 469 737 938 1103 1407 1474 2206 2211 2814 3309 4422 5159 6618 7721 10318 12133 15442 15477 23163 24266 30954 36399 46326 72798 73901 84931 147802 169862 221703 254793 443406 509586 517307 812911 1034614 1551921 1625822 2438733 3103842 4877466 5690377 11380754 17071131 34142262