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134342568 = 233217412677
BaseRepresentation
bin10000000000111…
…10011110101000
3100100210022100200
420000132132220
5233342430233
621155232200
73220615203
oct1000363650
9310708320
10134342568
1169918618
1238ba8660
1321aa9259
1413bb093a
15bbda313
hex801e7a8

134342568 has 96 divisors (see below), whose sum is σ = 394790760. Its totient is φ = 41103360.

The previous prime is 134342513. The next prime is 134342569. The reversal of 134342568 is 865243431.

134342568 is a `hidden beast` number, since 13 + 43 + 42 + 568 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 58339044 + 76003524 = 7638^2 + 8718^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (134342569) by changing a digit.

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, 48846 + ... + 51522.

Almost surely, 2134342568 is an apocalyptic number.

134342568 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 134342568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197395380).

134342568 is an abundant number, since it is smaller than the sum of its proper divisors (260448192).

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

134342568 is a wasteful number, since it uses less digits than its factorization.

134342568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2747 (or 2740 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 134342568 is about 11590.6241419520. The cubic root of 134342568 is about 512.1586930773.

Adding to 134342568 its reverse (865243431), we get a palindrome (999585999).

The spelling of 134342568 in words is "one hundred thirty-four million, three hundred forty-two thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 41 51 68 72 82 102 123 136 153 164 204 246 306 328 369 408 492 612 697 738 984 1224 1394 1476 2091 2677 2788 2952 4182 5354 5576 6273 8031 8364 10708 12546 16062 16728 21416 24093 25092 32124 45509 48186 50184 64248 91018 96372 109757 136527 182036 192744 219514 273054 329271 364072 409581 439028 546108 658542 819162 878056 987813 1092216 1317084 1638324 1865869 1975626 2634168 3276648 3731738 3951252 5597607 7463476 7902504 11195214 14926952 16792821 22390428 33585642 44780856 67171284 134342568