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40949334 = 2332979331
BaseRepresentation
bin1001110000110…
…1011001010110
32212001102221000
42130031121112
540440334314
64021404130
71005030546
oct234153126
985042830
1040949334
1121129928
1211869646
13863999a
14561d326
1538dd209
hex270d656

40949334 has 64 divisors (see below), whose sum is σ = 95616000. Its totient is φ = 12972960.

The previous prime is 40949333. The next prime is 40949341. The reversal of 40949334 is 43394904.

40949334 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40949333) 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, 123549 + ... + 123879.

It is an arithmetic number, because the mean of its divisors is an integer number (1494000).

Almost surely, 240949334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40949334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47808000).

40949334 is an abundant number, since it is smaller than the sum of its proper divisors (54666666).

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

40949334 is a wasteful number, since it uses less digits than its factorization.

40949334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 40949334 is about 6399.1666644962. The cubic root of 40949334 is about 344.6796269737.

The spelling of 40949334 in words is "forty million, nine hundred forty-nine thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 29 54 58 79 87 158 174 237 261 331 474 522 662 711 783 993 1422 1566 1986 2133 2291 2979 4266 4582 5958 6873 8937 9599 13746 17874 19198 20619 26149 28797 41238 52298 57594 61857 78447 86391 123714 156894 172782 235341 259173 470682 518346 706023 758321 1412046 1516642 2274963 4549926 6824889 13649778 20474667 40949334