Base | Representation |
---|---|
bin | 1100111110100110001110 |
3 | 20101211211200 |
4 | 30332212032 |
5 | 1332332001 |
6 | 200530330 |
7 | 40626510 |
oct | 14764616 |
9 | 6354750 |
10 | 3402126 |
11 | 1a14082 |
12 | 11809a6 |
13 | 9216c0 |
14 | 647bb0 |
15 | 473086 |
hex | 33e98e |
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".
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