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134316 = 223271341
BaseRepresentation
bin100000110010101100
320211020200
4200302230
513244231
62513500
71066410
oct406254
9224220
10134316
1191a06
1265890
13491a0
1436d40
1529be6
hex20cac

134316 has 72 divisors (see below), whose sum is σ = 428064. Its totient is φ = 34560.

The previous prime is 134293. The next prime is 134327. The reversal of 134316 is 613431.

134316 = 362 + 372 + ... + 762.

134316 is nontrivially palindromic in base 5.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3256 + ... + 3296.

2134316 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 134316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214032).

134316 is an abundant number, since it is smaller than the sum of its proper divisors (293748).

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

134316 is a wasteful number, since it uses less digits than its factorization.

134316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 66 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 134316 is about 366.4914732978. The cubic root of 134316 is about 51.2124928825.

Adding to 134316 its reverse (613431), we get a palindrome (747747).

The spelling of 134316 in words is "one hundred thirty-four thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 41 42 52 63 78 82 84 91 117 123 126 156 164 182 234 246 252 273 287 364 369 468 492 533 546 574 738 819 861 1066 1092 1148 1476 1599 1638 1722 2132 2583 3198 3276 3444 3731 4797 5166 6396 7462 9594 10332 11193 14924 19188 22386 33579 44772 67158 134316