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81731034 = 232711109541
BaseRepresentation
bin1001101111100…
…01110111011010
312200210100220100
410313301313122
5131410343114
612035440230
72011462620
oct467616732
9180710810
1081731034
1142153810
1223456076
1313c18278
14abd7510
157296909
hex4df1dda

81731034 has 96 divisors (see below), whose sum is σ = 223217280. Its totient is φ = 20995200.

The previous prime is 81731009. The next prime is 81731047. The reversal of 81731034 is 43013718.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 81730989 and 81731007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 150804 + ... + 151344.

It is an arithmetic number, because the mean of its divisors is an integer number (2325180).

Almost surely, 281731034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81731034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111608640).

81731034 is an abundant number, since it is smaller than the sum of its proper divisors (141486246).

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

81731034 is a wasteful number, since it uses less digits than its factorization.

81731034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 81731034 is about 9040.5217769773. The cubic root of 81731034 is about 433.9726210368.

The spelling of 81731034 in words is "eighty-one million, seven hundred thirty-one thousand, thirty-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 109 126 154 198 218 231 327 462 541 654 693 763 981 1082 1199 1386 1526 1623 1962 2289 2398 3246 3597 3787 4578 4869 5951 6867 7194 7574 8393 9738 10791 11361 11902 13734 16786 17853 21582 22722 25179 34083 35706 41657 50358 53559 58969 68166 75537 83314 107118 117938 124971 151074 176907 249942 353814 374913 412783 530721 648659 749826 825566 1061442 1238349 1297318 1945977 2476698 3715047 3891954 4540613 5837931 7430094 9081226 11675862 13621839 27243678 40865517 81731034