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133064334 = 23213191732
BaseRepresentation
bin1111110111001…
…10011010001110
3100021101100221200
413323212122032
5233031024314
621112010330
73204012444
oct773463216
9307340850
10133064334
1169125227
12386909a6
132174c4c0
141395ab94
15ba36709
hex7ee668e

133064334 has 72 divisors (see below), whose sum is σ = 328724760. Its totient is φ = 38563776.

The previous prime is 133064329. The next prime is 133064339. The reversal of 133064334 is 433460331.

133064334 is a `hidden beast` number, since 13 + 3 + 0 + 643 + 3 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (133064329) and next prime (133064339).

It is a super-2 number, since 2×1330643342 = 35412233965727112, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 133064298 and 133064307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133064339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 769072 + ... + 769244.

Almost surely, 2133064334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133064334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164362380).

133064334 is an abundant number, since it is smaller than the sum of its proper divisors (195660426).

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

133064334 is a wasteful number, since it uses less digits than its factorization.

133064334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

The square root of 133064334 is about 11535.3514900934. The cubic root of 133064334 is about 510.5291624146.

The spelling of 133064334 in words is "one hundred thirty-three million, sixty-four thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 19 26 38 39 57 78 114 117 171 173 234 247 342 346 494 519 741 1038 1482 1557 2223 2249 3114 3287 4446 4498 6574 6747 9861 13494 19722 20241 29583 29929 40482 42731 59166 59858 85462 89787 128193 179574 256386 269361 384579 389077 538722 568651 769158 778154 1137302 1167231 1705953 2334462 3411906 3501693 5117859 7003386 7392463 10235718 14784926 22177389 44354778 66532167 133064334