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134304 = 2531399
BaseRepresentation
bin100000110010100000
320211020020
4200302200
513244204
62513440
71066362
oct406240
9224206
10134304
11919a5
1265880
1349191
1436d32
1529bd9
hex20ca0

134304 has 24 divisors (see below), whose sum is σ = 352800. Its totient is φ = 44736.

The previous prime is 134293. The next prime is 134327. The reversal of 134304 is 403431.

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

134304 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 604 + ... + 795.

It is an arithmetic number, because the mean of its divisors is an integer number (14700).

2134304 is an apocalyptic number.

It is an amenable number.

134304 is an abundant number, since it is smaller than the sum of its proper divisors (218496).

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

134304 is a wasteful number, since it uses less digits than its factorization.

134304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1412 (or 1404 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 134304 is about 366.4751014735. The cubic root of 134304 is about 51.2109677025.

Adding to 134304 its reverse (403431), we get a palindrome (537735).

The spelling of 134304 in words is "one hundred thirty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1399 2798 4197 5596 8394 11192 16788 22384 33576 44768 67152 134304