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136816344 = 23337412207
BaseRepresentation
bin10000010011110…
…10011011011000
3100112102222202000
420021322123120
5240011110334
621324241000
73250630320
oct1011723330
9315388660
10136816344
1170258165
12399a0160
1322464222
1414256280
15c028299
hex827a6d8

136816344 has 128 divisors (see below), whose sum is σ = 445132800. Its totient is φ = 38119680.

The previous prime is 136816331. The next prime is 136816441. The reversal of 136816344 is 443618631.

It is a happy number.

136816344 is a `hidden beast` number, since 13 + 6 + 8 + 1 + 634 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 136816299 and 136816308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60889 + ... + 63095.

It is an arithmetic number, because the mean of its divisors is an integer number (3477600).

Almost surely, 2136816344 is an apocalyptic number.

136816344 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 136816344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222566400).

136816344 is an abundant number, since it is smaller than the sum of its proper divisors (308316456).

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

136816344 is a wasteful number, since it uses less digits than its factorization.

136816344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2270 (or 2260 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 136816344 is about 11696.8518841610. The cubic root of 136816344 is about 515.2832124347.

The spelling of 136816344 in words is "one hundred thirty-six million, eight hundred sixteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 41 42 54 56 63 72 82 84 108 123 126 164 168 189 216 246 252 287 328 369 378 492 504 574 738 756 861 984 1107 1148 1476 1512 1722 2207 2214 2296 2583 2952 3444 4414 4428 5166 6621 6888 7749 8828 8856 10332 13242 15449 15498 17656 19863 20664 26484 30898 30996 39726 46347 52968 59589 61796 61992 79452 90487 92694 119178 123592 139041 158904 180974 185388 238356 271461 278082 361948 370776 417123 476712 542922 556164 633409 723896 814383 834246 1085844 1112328 1266818 1628766 1668492 1900227 2171688 2443149 2533636 3257532 3336984 3800454 4886298 5067272 5700681 6515064 7600908 9772596 11401362 15201816 17102043 19545192 22802724 34204086 45605448 68408172 136816344