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134324112 = 243131671289
BaseRepresentation
bin10000000000110…
…01111110010000
3100100202101001010
420000121332100
5233341332422
621155010520
73220510326
oct1000317620
9310671033
10134324112
116990576a
1238b99a40
1321aa0a30
1413ba7d16
15bbd4b0c
hex8019f90

134324112 has 80 divisors (see below), whose sum is σ = 376225920. Its totient is φ = 41051136.

The previous prime is 134324111. The next prime is 134324137. The reversal of 134324112 is 211423431.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134324111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103564 + ... + 104852.

It is an arithmetic number, because the mean of its divisors is an integer number (4702824).

Almost surely, 2134324112 is an apocalyptic number.

134324112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134324112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188112960).

134324112 is an abundant number, since it is smaller than the sum of its proper divisors (241901808).

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

134324112 is a wasteful number, since it uses less digits than its factorization.

134324112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1480 (or 1474 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 134324112 is about 11589.8279538568. The cubic root of 134324112 is about 512.1352385266.

Adding to 134324112 its reverse (211423431), we get a palindrome (345747543).

The spelling of 134324112 in words is "one hundred thirty-four million, three hundred twenty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 167 208 312 334 501 624 668 1002 1289 1336 2004 2171 2578 2672 3867 4008 4342 5156 6513 7734 8016 8684 10312 13026 15468 16757 17368 20624 26052 30936 33514 34736 50271 52104 61872 67028 100542 104208 134056 201084 215263 268112 402168 430526 645789 804336 861052 1291578 1722104 2583156 2798419 3444208 5166312 5596838 8395257 10332624 11193676 16790514 22387352 33581028 44774704 67162056 134324112