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134714034 = 232721331379
BaseRepresentation
bin10000000011110…
…01001010110010
3100101111011220200
420001321022302
5233441322114
621211220030
73224023200
oct1001711262
9311434820
10134714034
116a051714
1239147616
1321ba9360
1413c6a070
15bc60409
hex80792b2

134714034 has 144 divisors (see below), whose sum is σ = 378443520. Its totient is φ = 34292160.

The previous prime is 134714033. The next prime is 134714071. The reversal of 134714034 is 430417431.

It is a junction number, because it is equal to n+sod(n) for n = 134713989 and 134714007.

It is not an unprimeable number, because it can be changed into a prime (134714033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 355257 + ... + 355635.

It is an arithmetic number, because the mean of its divisors is an integer number (2628080).

Almost surely, 2134714034 is an apocalyptic number.

134714034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 134714034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189221760).

134714034 is an abundant number, since it is smaller than the sum of its proper divisors (243729486).

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

134714034 is a wasteful number, since it uses less digits than its factorization.

134714034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 134714034 is about 11606.6374975701. The cubic root of 134714034 is about 512.6303094383.

The spelling of 134714034 in words is "one hundred thirty-four million, seven hundred fourteen thousand, thirty-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 31 39 42 49 62 63 78 91 93 98 117 126 147 182 186 217 234 273 279 294 379 403 434 441 546 558 637 651 758 806 819 882 1137 1209 1274 1302 1519 1638 1911 1953 2274 2418 2653 2821 3038 3411 3627 3822 3906 4557 4927 5306 5642 5733 6822 7254 7959 8463 9114 9854 11466 11749 13671 14781 15918 16926 18571 19747 23498 23877 25389 27342 29562 34489 35247 37142 39494 44343 47754 50778 55713 59241 68978 70494 82243 88686 103467 105741 111426 118482 152737 164486 167139 177723 206934 211482 241423 246729 305474 310401 334278 355446 458211 482846 493458 575701 620802 724269 740187 916422 1069159 1151402 1374633 1448538 1480374 1727103 2138318 2172807 2749266 3207477 3454206 4345614 5181309 6414954 7484113 9622431 10362618 14968226 19244862 22452339 44904678 67357017 134714034