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181010340 = 223257197561
BaseRepresentation
bin10101100100111…
…11111110100100
3110121121021111200
422302133332210
5332314312330
625543402500
74325363640
oct1262377644
9417537450
10181010340
11931a2825
1250753430
132b668a14
141a07bc20
1510d57a60
hexac9ffa4

181010340 has 144 divisors (see below), whose sum is σ = 660616320. Its totient is φ = 39191040.

The previous prime is 181010303. The next prime is 181010341. The reversal of 181010340 is 43010181.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (181010341) by changing a digit.

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, 20160 + ... + 27720.

Almost surely, 2181010340 is an apocalyptic number.

181010340 is a gapful number since it is divisible by the number (10) 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 181010340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330308160).

181010340 is an abundant number, since it is smaller than the sum of its proper divisors (479605980).

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

181010340 is a wasteful number, since it uses less digits than its factorization.

181010340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7602 (or 7597 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 181010340 is about 13454.0083246592. The cubic root of 181010340 is about 565.6760539776.

The spelling of 181010340 in words is "one hundred eighty-one million, ten thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 19 20 21 28 30 35 36 38 42 45 57 60 63 70 76 84 90 95 105 114 126 133 140 171 180 190 210 228 252 266 285 315 342 380 399 420 532 570 630 665 684 798 855 1140 1197 1260 1330 1596 1710 1995 2394 2660 3420 3990 4788 5985 7561 7980 11970 15122 22683 23940 30244 37805 45366 52927 68049 75610 90732 105854 113415 136098 143659 151220 158781 211708 226830 264635 272196 287318 317562 340245 430977 453660 476343 529270 574636 635124 680490 718295 793905 861954 952686 1005613 1058540 1292931 1360980 1436590 1587810 1723908 1905372 2011226 2154885 2381715 2585862 2873180 3016839 3175620 4022452 4309770 4763430 5028065 5171724 6033678 6464655 8619540 9050517 9526860 10056130 12067356 12929310 15084195 18101034 20112260 25858620 30168390 36202068 45252585 60336780 90505170 181010340