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77134338 = 232171913267
BaseRepresentation
bin1001001100011…
…11101000000010
312101010211102100
410212033220002
5124221244323
611353131230
71624426311
oct446175002
9171124370
1077134338
113a5a4196
12219b9b16
1312c98c28
14a35c278
156b89943
hex498fa02

77134338 has 48 divisors (see below), whose sum is σ = 186282720. Its totient is φ = 22923648.

The previous prime is 77134313. The next prime is 77134361. The reversal of 77134338 is 83343177.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 820 + ... + 12447.

It is an arithmetic number, because the mean of its divisors is an integer number (3880890).

Almost surely, 277134338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77134338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93141360).

77134338 is an abundant number, since it is smaller than the sum of its proper divisors (109148382).

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

77134338 is a wasteful number, since it uses less digits than its factorization.

77134338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13311 (or 13308 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 77134338 is about 8782.6156696055. The cubic root of 77134338 is about 425.6793527074.

The spelling of 77134338 in words is "seventy-seven million, one hundred thirty-four thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 9 17 18 19 34 38 51 57 102 114 153 171 306 323 342 646 969 1938 2907 5814 13267 26534 39801 79602 119403 225539 238806 252073 451078 504146 676617 756219 1353234 1512438 2029851 2268657 4059702 4285241 4537314 8570482 12855723 25711446 38567169 77134338