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134164044 = 223273591483
BaseRepresentation
bin1111111111100…
…10111001001100
3100100110020110200
413333302321030
5233321222134
621151333500
73216242550
oct777627114
9310406420
10134164044
1169806483
1238b21290
1321a45c11
1413b65860
15bba2499
hex7ff2e4c

134164044 has 72 divisors (see below), whose sum is σ = 388926720. Its totient is φ = 38200032.

The previous prime is 134164039. The next prime is 134164049. The reversal of 134164044 is 440461431.

134164044 is a `hidden beast` number, since 13 + 4 + 1 + 640 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (134164039) and next prime (134164049).

It is a junction number, because it is equal to n+sod(n) for n = 134163999 and 134164017.

It is not an unprimeable number, because it can be changed into a prime (134164049) 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, 89727 + ... + 91209.

It is an arithmetic number, because the mean of its divisors is an integer number (5401760).

Almost surely, 2134164044 is an apocalyptic number.

134164044 is a gapful number since it is divisible by the number (14) 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 134164044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194463360).

134164044 is an abundant number, since it is smaller than the sum of its proper divisors (254762676).

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

134164044 is a wasteful number, since it uses less digits than its factorization.

134164044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1859 (or 1854 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 134164044 is about 11582.9203571466. The cubic root of 134164044 is about 511.9317281608.

The spelling of 134164044 in words is "one hundred thirty-four million, one hundred sixty-four thousand, forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 359 718 1077 1436 1483 2154 2513 2966 3231 4308 4449 5026 5932 6462 7539 8898 10052 10381 12924 13347 15078 17796 20762 22617 26694 30156 31143 41524 45234 53388 62286 90468 93429 124572 186858 373716 532397 1064794 1597191 2129588 3194382 3726779 4791573 6388764 7453558 9583146 11180337 14907116 19166292 22360674 33541011 44721348 67082022 134164044