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81344868 = 2231131103193
BaseRepresentation
bin1001101100100…
…11100101100100
312200001202011220
410312103211210
5131311013433
612023300340
72005264023
oct466234544
9180052156
1081344868
1141a0a670
12232aa6b0
1313b11577
14ab368ba
15721c2b3
hex4d93964

81344868 has 96 divisors (see below), whose sum is σ = 216932352. Its totient is φ = 23500800.

The previous prime is 81344867. The next prime is 81344873. The reversal of 81344868 is 86844318.

It is not an unprimeable number, because it can be changed into a prime (81344867) by changing a digit.

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, 421380 + ... + 421572.

It is an arithmetic number, because the mean of its divisors is an integer number (2259712).

Almost surely, 281344868 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81344868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108466176).

81344868 is an abundant number, since it is smaller than the sum of its proper divisors (135587484).

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

81344868 is a wasteful number, since it uses less digits than its factorization.

81344868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 343 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The square root of 81344868 is about 9019.1389832955. The cubic root of 81344868 is about 433.2880581231.

The spelling of 81344868 in words is "eighty-one million, three hundred forty-four thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 103 124 132 186 193 206 309 341 372 386 412 579 618 682 772 1023 1133 1158 1236 1364 2046 2123 2266 2316 3193 3399 4092 4246 4532 5983 6369 6386 6798 8492 9579 11966 12738 12772 13596 17949 19158 19879 23932 25476 35123 35898 38316 39758 59637 65813 70246 71796 79516 105369 119274 131626 140492 197439 210738 218669 238548 263252 394878 421476 437338 616249 656007 789756 874676 1232498 1312014 1848747 2464996 2624028 3697494 6778739 7394988 13557478 20336217 27114956 40672434 81344868