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134368 = 25131719
BaseRepresentation
bin100000110011100000
320211022121
4200303200
513244433
62514024
71066513
oct406340
9224277
10134368
1191a53
1265914
1349210
1436d7a
1529c2d
hex20ce0

134368 has 48 divisors (see below), whose sum is σ = 317520. Its totient is φ = 55296.

The previous prime is 134363. The next prime is 134369. The reversal of 134368 is 863431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134363) by changing a digit.

134368 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 7 ways as a sum of consecutive naturals, for example, 7063 + ... + 7081.

It is an arithmetic number, because the mean of its divisors is an integer number (6615).

2134368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158760).

134368 is an abundant number, since it is smaller than the sum of its proper divisors (183152).

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

134368 is a wasteful number, since it uses less digits than its factorization.

134368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 51 counting only the distinct ones).

The product of its digits is 1728, while the sum is 25.

The square root of 134368 is about 366.5624094203. The cubic root of 134368 is about 51.2191009461.

Adding to 134368 its reverse (863431), we get a palindrome (997799).

The spelling of 134368 in words is "one hundred thirty-four thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 13 16 17 19 26 32 34 38 52 68 76 104 136 152 208 221 247 272 304 323 416 442 494 544 608 646 884 988 1292 1768 1976 2584 3536 3952 4199 5168 7072 7904 8398 10336 16796 33592 67184 134368