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134843280 = 243511133929
BaseRepresentation
bin10000000100110…
…00101110010000
3100101201202012120
420002120232100
5234004441110
621214054240
73225102045
oct1002305620
9311652176
10134843280
116a12a830
12391aa380
1321c23130
1413ca11cc
15bc88870
hex8098b90

134843280 has 160 divisors (see below), whose sum is σ = 491218560. Its totient is φ = 30167040.

The previous prime is 134843279. The next prime is 134843299. The reversal of 134843280 is 82348431.

It is a super-2 number, since 2×1348432802 = 36365420322316800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32356 + ... + 36284.

It is an arithmetic number, because the mean of its divisors is an integer number (3070116).

Almost surely, 2134843280 is an apocalyptic number.

134843280 is a gapful number since it is divisible by the number (10) 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 134843280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245609280).

134843280 is an abundant number, since it is smaller than the sum of its proper divisors (356375280).

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

134843280 is a wasteful number, since it uses less digits than its factorization.

134843280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3969 (or 3963 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 134843280 is about 11612.2039251815. The cubic root of 134843280 is about 512.7941979300.

The spelling of 134843280 in words is "one hundred thirty-four million, eight hundred forty-three thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 26 30 33 39 40 44 48 52 55 60 65 66 78 80 88 104 110 120 130 132 143 156 165 176 195 208 220 240 260 264 286 312 330 390 429 440 520 528 572 624 660 715 780 858 880 1040 1144 1320 1430 1560 1716 2145 2288 2640 2860 3120 3432 3929 4290 5720 6864 7858 8580 11440 11787 15716 17160 19645 23574 31432 34320 39290 43219 47148 51077 58935 62864 78580 86438 94296 102154 117870 129657 153231 157160 172876 188592 204308 216095 235740 255385 259314 306462 314320 345752 408616 432190 471480 510770 518628 561847 612924 648285 691504 766155 817232 864380 942960 1021540 1037256 1123694 1225848 1296570 1532310 1685541 1728760 2043080 2074512 2247388 2451696 2593140 2809235 3064620 3371082 3457520 4086160 4494776 5186280 5618470 6129240 6742164 8427705 8989552 10372560 11236940 12258480 13484328 16855410 22473880 26968656 33710820 44947760 67421640 134843280