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10334142 = 234713701
BaseRepresentation
bin100111011010…
…111110111110
3201110000210000
4213122332332
510121143032
61005255130
7153560460
oct47327676
921400700
1010334142
115919215
1235644a6
1321aa9a0
141530130
15d91e7c
hex9dafbe

10334142 has 80 divisors (see below), whose sum is σ = 28540512. Its totient is φ = 2721600.

The previous prime is 10334131. The next prime is 10334143. The reversal of 10334142 is 24143301.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10334143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14392 + ... + 15092.

Almost surely, 210334142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10334142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14270256).

10334142 is an abundant number, since it is smaller than the sum of its proper divisors (18206370).

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

10334142 is a wasteful number, since it uses less digits than its factorization.

10334142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 726 counting only the distinct ones).

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

The square root of 10334142 is about 3214.6760334441. The cubic root of 10334142 is about 217.8168509149.

Adding to 10334142 its reverse (24143301), we get a palindrome (34477443).

The spelling of 10334142 in words is "ten million, three hundred thirty-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 81 91 117 126 162 182 189 234 273 351 378 546 567 701 702 819 1053 1134 1402 1638 2103 2106 2457 4206 4907 4914 6309 7371 9113 9814 12618 14721 14742 18226 18927 27339 29442 37854 44163 54678 56781 63791 82017 88326 113562 127582 132489 164034 191373 246051 264978 382746 397467 492102 574119 738153 794934 1148238 1476306 1722357 3444714 5167071 10334142