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1200304417 = 1328385571
BaseRepresentation
bin100011110001011…
…0011000100100001
310002122120210010011
41013202303010201
54424234220132
6315034404521
741513263534
oct10742630441
93078523104
101200304417
115665a4524
12295b90741
1316189cc00
14b55aca1b
157059ab47
hex478b3121

1200304417 has 12 divisors (see below), whose sum is σ = 1315412784. Its totient is φ = 1094611440.

The previous prime is 1200304387. The next prime is 1200304439. The reversal of 1200304417 is 7144030021.

It is a de Polignac number, because none of the positive numbers 2k-1200304417 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1200304447) 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 11 ways as a sum of consecutive naturals, for example, 28759 + ... + 56812.

It is an arithmetic number, because the mean of its divisors is an integer number (109617732).

Almost surely, 21200304417 is an apocalyptic number.

It is an amenable number.

1200304417 is a deficient number, since it is larger than the sum of its proper divisors (115108367).

1200304417 is an equidigital number, since it uses as much as digits as its factorization.

1200304417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85680 (or 85667 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 1200304417 is about 34645.4097536744. The cubic root of 1200304417 is about 1062.7484202890.

Adding to 1200304417 its reverse (7144030021), we get a palindrome (8344334438).

The spelling of 1200304417 in words is "one billion, two hundred million, three hundred four thousand, four hundred seventeen".

Divisors: 1 13 83 169 1079 14027 85571 1112423 7102393 14461499 92331109 1200304417