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134406 = 23319131
BaseRepresentation
bin100000110100000110
320211101000
4200310012
513300111
62514130
71066566
oct406406
9224330
10134406
1191a88
1265946
134923c
1436da6
1529c56
hex20d06

134406 has 32 divisors (see below), whose sum is σ = 316800. Its totient is φ = 42120.

The previous prime is 134401. The next prime is 134417. The reversal of 134406 is 604431.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134401) by changing a digit.

134406 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 15 ways as a sum of consecutive naturals, for example, 961 + ... + 1091.

It is an arithmetic number, because the mean of its divisors is an integer number (9900).

2134406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158400).

134406 is an abundant number, since it is smaller than the sum of its proper divisors (182394).

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

134406 is a wasteful number, since it uses less digits than its factorization.

134406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 155 counting only the distinct ones).

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

The square root of 134406 is about 366.6142386760. The cubic root of 134406 is about 51.2239288377.

Adding to 134406 its reverse (604431), we get a palindrome (738837).

The spelling of 134406 in words is "one hundred thirty-four thousand, four hundred six".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 131 171 262 342 393 513 786 1026 1179 2358 2489 3537 4978 7074 7467 14934 22401 44802 67203 134406