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134342208 = 263271113233
BaseRepresentation
bin10000000000111…
…10011001000000
3100100210021212100
420000132121000
5233342422313
621155230400
73220614150
oct1000363100
9310707770
10134342208
1169918320
1238ba8400
1321aa9040
1413bb0760
15bbda173
hex801e640

134342208 has 336 divisors, whose sum is σ = 519232896. Its totient is φ = 32071680.

The previous prime is 134342183. The next prime is 134342209. The reversal of 134342208 is 802243431.

134342208 is a `hidden beast` number, since 1 + 3 + 434 + 220 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (134342209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 576460 + ... + 576692.

It is an arithmetic number, because the mean of its divisors is an integer number (1545336).

Almost surely, 2134342208 is an apocalyptic number.

134342208 is a gapful number since it is divisible by the number (18) 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 134342208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259616448).

134342208 is an abundant number, since it is smaller than the sum of its proper divisors (384890688).

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

134342208 is a wasteful number, since it uses less digits than its factorization.

134342208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 269 counting only the distinct ones).

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

The square root of 134342208 is about 11590.6086121480. The cubic root of 134342208 is about 512.1582355968.

Adding to 134342208 its reverse (802243431), we get a palindrome (936585639).

The spelling of 134342208 in words is "one hundred thirty-four million, three hundred forty-two thousand, two hundred eight".