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40333369 is a prime number
BaseRepresentation
bin1001100111011…
…1000000111001
32210220010222111
42121313000321
540311131434
64000252321
7666553666
oct231670071
983803874
1040333369
112084906a
12116110a1
1384824cb
1454dca6d
15381a964
hex2677039

40333369 has 2 divisors, whose sum is σ = 40333370. Its totient is φ = 40333368.

The previous prime is 40333361. The next prime is 40333451. The reversal of 40333369 is 96333304.

40333369 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 34515625 + 5817744 = 5875^2 + 2412^2 .

It is a cyclic number.

It is not a de Polignac number, because 40333369 - 23 = 40333361 is a prime.

It is a super-4 number, since 4×403333694 (a number of 32 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3, 2.

It is a self number, because there is not a number n which added to its sum of digits gives 40333369.

It is not a weakly prime, because it can be changed into another prime (40333361) 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 as a sum of consecutive naturals, namely, 20166684 + 20166685.

It is an arithmetic number, because the mean of its divisors is an integer number (20166685).

Almost surely, 240333369 is an apocalyptic number.

It is an amenable number.

40333369 is a deficient number, since it is larger than the sum of its proper divisors (1).

40333369 is an equidigital number, since it uses as much as digits as its factorization.

40333369 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17496, while the sum is 31.

The square root of 40333369 is about 6350.8557691070. The cubic root of 40333369 is about 342.9426503578.

The spelling of 40333369 in words is "forty million, three hundred thirty-three thousand, three hundred sixty-nine".