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134843112 = 233223107761
BaseRepresentation
bin10000000100110…
…00101011101000
3100101201201222100
420002120223220
5234004434422
621214053400
73225101415
oct1002305350
9311651870
10134843112
116a12a698
12391aa260
1321c23031
1413ca110c
15bc887ac
hex8098ae8

134843112 has 96 divisors (see below), whose sum is σ = 385145280. Its totient is φ = 42535680.

The previous prime is 134843081. The next prime is 134843119. The reversal of 134843112 is 211348431.

134843112 is a `hidden beast` number, since 1 + 348 + 4 + 311 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (134843119) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 176812 + ... + 177572.

It is an arithmetic number, because the mean of its divisors is an integer number (4011930).

Almost surely, 2134843112 is an apocalyptic number.

134843112 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 134843112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192572640).

134843112 is an abundant number, since it is smaller than the sum of its proper divisors (250302168).

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

134843112 is a wasteful number, since it uses less digits than its factorization.

134843112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903 (or 896 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 134843112 is about 11612.1966914103. The cubic root of 134843112 is about 512.7939849681.

The spelling of 134843112 in words is "one hundred thirty-four million, eight hundred forty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 107 138 184 207 214 276 321 414 428 552 642 761 828 856 963 1284 1522 1656 1926 2283 2461 2568 3044 3852 4566 4922 6088 6849 7383 7704 9132 9844 13698 14766 17503 18264 19688 22149 27396 29532 35006 44298 52509 54792 59064 70012 81427 88596 105018 140024 157527 162854 177192 210036 244281 315054 325708 420072 488562 630108 651416 732843 977124 1260216 1465686 1872821 1954248 2931372 3745642 5618463 5862744 7491284 11236926 14982568 16855389 22473852 33710778 44947704 67421556 134843112