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406134 = 23423109
BaseRepresentation
bin1100011001001110110
3202122010000
41203021312
5100444014
612412130
73311031
oct1431166
9678100
10406134
11258153
12177046
13112b21
14a8018
1580509
hex63276

406134 has 40 divisors (see below), whose sum is σ = 958320. Its totient is φ = 128304.

The previous prime is 406123. The next prime is 406169. The reversal of 406134 is 431604.

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

It is a congruent number.

It is an unprimeable number.

406134 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3672 + ... + 3780.

It is an arithmetic number, because the mean of its divisors is an integer number (23958).

2406134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479160).

406134 is an abundant number, since it is smaller than the sum of its proper divisors (552186).

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

406134 is a wasteful number, since it uses less digits than its factorization.

406134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 137 counting only the distinct ones).

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

The square root of 406134 is about 637.2864348156. The cubic root of 406134 is about 74.0553518177.

Adding to 406134 its reverse (431604), we get a palindrome (837738).

It can be divided in two parts, 4061 and 34, that added together give a triangular number (4095 = T90).

The spelling of 406134 in words is "four hundred six thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 81 109 138 162 207 218 327 414 621 654 981 1242 1863 1962 2507 2943 3726 5014 5886 7521 8829 15042 17658 22563 45126 67689 135378 203067 406134