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134833104 = 24327297197
BaseRepresentation
bin10000000100101…
…10001111010000
3100101201020020200
420002112033100
5234004124404
621213535200
73225030300
oct1002261720
9311636220
10134833104
116a12311a
12391a4500
1321c1b603
1413c9b600
15bc85839
hex80963d0

134833104 has 180 divisors, whose sum is σ = 445729284. Its totient is φ = 37933056.

The previous prime is 134833091. The next prime is 134833121. The reversal of 134833104 is 401338431.

134833104 is a `hidden beast` number, since 1 + 348 + 3 + 310 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 105021504 + 29811600 = 10248^2 + 5460^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 684334 + ... + 684530.

Almost surely, 2134833104 is an apocalyptic number.

134833104 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 134833104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222864642).

134833104 is an abundant number, since it is smaller than the sum of its proper divisors (310896180).

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

134833104 is a wasteful number, since it uses less digits than its factorization.

134833104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 134833104 is about 11611.7657571964. The cubic root of 134833104 is about 512.7812982017.

The spelling of 134833104 in words is "one hundred thirty-four million, eight hundred thirty-three thousand, one hundred four".