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3402126 = 2327133167
BaseRepresentation
bin1100111110100110001110
320101211211200
430332212032
51332332001
6200530330
740626510
oct14764616
96354750
103402126
111a14082
1211809a6
139216c0
14647bb0
15473086
hex33e98e

3402126 has 96 divisors (see below), whose sum is σ = 9504768. Its totient is φ = 855360.

The previous prime is 3402109. The next prime is 3402127. The reversal of 3402126 is 6212043.

It is a happy number.

It is a super-3 number, since 3×34021263 (a number of 21 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3402099 and 3402108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3402127) 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 47 ways as a sum of consecutive naturals, for example, 50745 + ... + 50811.

It is an arithmetic number, because the mean of its divisors is an integer number (99008).

Almost surely, 23402126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3402126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4752384).

3402126 is an abundant number, since it is smaller than the sum of its proper divisors (6102642).

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

3402126 is a wasteful number, since it uses less digits than its factorization.

3402126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 123 counting only the distinct ones).

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

The square root of 3402126 is about 1844.4852940590. The cubic root of 3402126 is about 150.4007948030.

Adding to 3402126 its reverse (6212043), we get a palindrome (9614169).

The spelling of 3402126 in words is "three million, four hundred two thousand, one hundred twenty-six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 31 39 42 62 63 67 78 91 93 117 126 134 182 186 201 217 234 273 279 402 403 434 469 546 558 603 651 806 819 871 938 1206 1209 1302 1407 1638 1742 1953 2077 2418 2613 2814 2821 3627 3906 4154 4221 5226 5642 6097 6231 7254 7839 8442 8463 12194 12462 14539 15678 16926 18291 18693 25389 27001 29078 36582 37386 43617 50778 54002 54873 81003 87234 109746 130851 162006 189007 243009 261702 378014 486018 567021 1134042 1701063 3402126