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40443368 = 23737131149
BaseRepresentation
bin1001101001000…
…1110111101000
32211002201212112
42122101313220
540323141433
64002501452
71000522460
oct232216750
984081775
1040443368
1120913779
1211664888
1384c05b4
14552aba0
15383d348
hex2691de8

40443368 has 64 divisors (see below), whose sum is σ = 90288000. Its totient is φ = 16623360.

The previous prime is 40443353. The next prime is 40443383. The reversal of 40443368 is 86334404.

40443368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40443353) and next prime (40443383).

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 15 ways as a sum of consecutive naturals, for example, 271358 + ... + 271506.

It is an arithmetic number, because the mean of its divisors is an integer number (1410750).

Almost surely, 240443368 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 40443368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45144000).

40443368 is an abundant number, since it is smaller than the sum of its proper divisors (49844632).

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

40443368 is a wasteful number, since it uses less digits than its factorization.

40443368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

The square root of 40443368 is about 6359.5100440207. The cubic root of 40443368 is about 343.2541303042.

The spelling of 40443368 in words is "forty million, four hundred forty-three thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 37 56 74 131 148 149 259 262 296 298 518 524 596 917 1036 1043 1048 1192 1834 2072 2086 3668 4172 4847 5513 7336 8344 9694 11026 19388 19519 22052 33929 38591 38776 39038 44104 67858 77182 78076 135716 136633 154364 156152 271432 273266 308728 546532 722203 1093064 1444406 2888812 5055421 5777624 10110842 20221684 40443368