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40304129 is a prime number
BaseRepresentation
bin1001100110111…
…1111000000001
32210211122212112
42121233320001
540304213004
63555505105
7666402515
oct231577001
983748775
1040304129
11208290a8
12115b8195
1384720c8
1454d2145
153811e6e
hex266fe01

40304129 has 2 divisors, whose sum is σ = 40304130. Its totient is φ = 40304128.

The previous prime is 40304101. The next prime is 40304183. The reversal of 40304129 is 92140304.

40304129 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., 35724529 + 4579600 = 5977^2 + 2140^2 .

It is a cyclic number.

It is not a de Polignac number, because 40304129 - 216 = 40238593 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (40300129) 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, 20152064 + 20152065.

It is an arithmetic number, because the mean of its divisors is an integer number (20152065).

Almost surely, 240304129 is an apocalyptic number.

It is an amenable number.

40304129 is a deficient number, since it is larger than the sum of its proper divisors (1).

40304129 is an equidigital number, since it uses as much as digits as its factorization.

40304129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 40304129 is about 6348.5532997684. The cubic root of 40304129 is about 342.8597573131.

The spelling of 40304129 in words is "forty million, three hundred four thousand, one hundred twenty-nine".