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4034440409 = 3129774297
BaseRepresentation
bin1111000001111000…
…1010110011011001
3101102011111210210212
43300132022303121
531230304043114
61504200020505
7201656114636
oct36036126331
911364453725
104034440409
11179037787a
12947161735
134c3abc85c
142a3b5b18d
151892c9b3e
hexf078acd9

4034440409 has 12 divisors (see below), whose sum is σ = 4174019892. Its totient is φ = 3899393280.

The previous prime is 4034440337. The next prime is 4034440429. The reversal of 4034440409 is 9040444304.

It can be written as a sum of positive squares in 2 ways, for example, as 3096366025 + 938074384 = 55645^2 + 30628^2 .

It is not a de Polignac number, because 4034440409 - 212 = 4034436313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4034440429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 936749 + ... + 941045.

It is an arithmetic number, because the mean of its divisors is an integer number (347834991).

Almost surely, 24034440409 is an apocalyptic number.

It is an amenable number.

4034440409 is a deficient number, since it is larger than the sum of its proper divisors (139579483).

4034440409 is an equidigital number, since it uses as much as digits as its factorization.

4034440409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5336 (or 5305 counting only the distinct ones).

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

The square root of 4034440409 is about 63517.2449733141. The cubic root of 4034440409 is about 1591.9439337058.

The spelling of 4034440409 in words is "four billion, thirty-four million, four hundred forty thousand, four hundred nine".

Divisors: 1 31 961 977 4297 30287 133207 938897 4129417 4198169 130143239 4034440409