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40938345 = 335743321
BaseRepresentation
bin1001110000101…
…0101101101001
32212000212212000
42130022231221
540440011340
64021241213
71004653530
oct234125551
985025760
1040938345
1121121648
1211863209
138634996
145619317
1538d9d30
hex270ab69

40938345 has 32 divisors (see below), whose sum is σ = 83178240. Its totient is φ = 18714240.

The previous prime is 40938341. The next prime is 40938347. The reversal of 40938345 is 54383904.

40938345 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 40938345 - 22 = 40938341 is a prime.

It is not an unprimeable number, because it can be changed into a prime (40938341) 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, 20716 + ... + 22605.

It is an arithmetic number, because the mean of its divisors is an integer number (2599320).

Almost surely, 240938345 is an apocalyptic number.

40938345 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40938345 is an abundant number, since it is smaller than the sum of its proper divisors (42239895).

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

40938345 is a wasteful number, since it uses less digits than its factorization.

40938345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43342 (or 43336 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 40938345 is about 6398.3079794583. The cubic root of 40938345 is about 344.6487919318.

The spelling of 40938345 in words is "forty million, nine hundred thirty-eight thousand, three hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 43321 129963 216605 303247 389889 649815 909741 1169667 1516235 1949445 2729223 4548705 5848335 8187669 13646115 40938345