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166716342 = 232134571559
BaseRepresentation
bin10011110111111…
…10001110110110
3102121201001211100
421323332032312
5320134410332
624313150530
74063031322
oct1173761666
9377631740
10166716342
118611a501
12479bb446
1328702830
14181da982
15e98267c
hex9efe3b6

166716342 has 48 divisors (see below), whose sum is σ = 390106080. Its totient is φ = 51152256.

The previous prime is 166716337. The next prime is 166716343. The reversal of 166716342 is 243617661.

It is a happy number.

166716342 is a `hidden beast` number, since 16 + 6 + 7 + 1 + 634 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 166716297 and 166716306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166716343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106159 + ... + 107717.

It is an arithmetic number, because the mean of its divisors is an integer number (8127210).

Almost surely, 2166716342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166716342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195053040).

166716342 is an abundant number, since it is smaller than the sum of its proper divisors (223389738).

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

166716342 is a wasteful number, since it uses less digits than its factorization.

166716342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2037 (or 2034 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 166716342 is about 12911.8682614097. The cubic root of 166716342 is about 550.3758774969.

The spelling of 166716342 in words is "one hundred sixty-six million, seven hundred sixteen thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 457 914 1371 1559 2742 3118 4113 4677 5941 8226 9354 11882 14031 17823 20267 28062 35646 40534 53469 60801 106938 121602 182403 364806 712463 1424926 2137389 4274778 6412167 9262019 12824334 18524038 27786057 55572114 83358171 166716342