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136244304 = 24327219309
BaseRepresentation
bin10000001111011…
…10110001010000
3100111100221001100
420013232301100
5234334304204
621304104400
73243025500
oct1007566120
9314327040
10136244304
116a9a73a9
1239765100
13222c3a41
1414147a00
15be63a39
hex81eec50

136244304 has 90 divisors (see below), whose sum is σ = 443570010. Its totient is φ = 38924928.

The previous prime is 136244281. The next prime is 136244309. The reversal of 136244304 is 403442631.

136244304 is a `hidden beast` number, since 1 + 3 + 624 + 4 + 30 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 93315600 + 42928704 = 9660^2 + 6552^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136244309) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2599 + ... + 16710.

Almost surely, 2136244304 is an apocalyptic number.

136244304 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 136244304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221785005).

136244304 is an abundant number, since it is smaller than the sum of its proper divisors (307325706).

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

136244304 is a wasteful number, since it uses less digits than its factorization.

136244304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19337 (or 19321 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 136244304 is about 11672.3735375458. The cubic root of 136244304 is about 514.5640625491.

Adding to 136244304 its reverse (403442631), we get a palindrome (539686935).

The spelling of 136244304 in words is "one hundred thirty-six million, two hundred forty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 3528 7056 19309 38618 57927 77236 115854 135163 154472 173781 231708 270326 308944 347562 405489 463416 540652 695124 810978 926832 946141 1081304 1216467 1390248 1621956 1892282 2162608 2432934 2780496 2838423 3243912 3784564 4865868 5676846 6487824 7569128 8515269 9731736 11353692 15138256 17030538 19463472 22707384 34061076 45414768 68122152 136244304