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40160340 = 22335116761
BaseRepresentation
bin1001100100110…
…0110001010100
32210120100122000
42121030301110
540240112330
63552435300
7665233353
oct231146124
983510560
1040160340
1120740070
1211548b30
13842181c
14549599a
1537d4560
hex264cc54

40160340 has 96 divisors (see below), whose sum is σ = 136321920. Its totient is φ = 9734400.

The previous prime is 40160339. The next prime is 40160347. The reversal of 40160340 is 4306104.

It is a super-2 number, since 2×401603402 = 3225705817831200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40160347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2560 + ... + 9320.

It is an arithmetic number, because the mean of its divisors is an integer number (1420020).

Almost surely, 240160340 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 40160340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68160960).

40160340 is an abundant number, since it is smaller than the sum of its proper divisors (96161580).

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

40160340 is a wasteful number, since it uses less digits than its factorization.

40160340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6790 (or 6782 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 40160340 is about 6337.2186328073. The cubic root of 40160340 is about 342.4515426854.

Adding to 40160340 its reverse (4306104), we get a palindrome (44466444).

The spelling of 40160340 in words is "forty million, one hundred sixty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1188 1485 1980 2970 5940 6761 13522 20283 27044 33805 40566 60849 67610 74371 81132 101415 121698 135220 148742 182547 202830 223113 243396 297484 304245 365094 371855 405660 446226 608490 669339 730188 743710 892452 912735 1115565 1216980 1338678 1487420 1825470 2008017 2231130 2677356 3346695 3650940 4016034 4462260 6693390 8032068 10040085 13386780 20080170 40160340