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1004314417 is a prime number
BaseRepresentation
bin111011110111001…
…001111100110001
32120222210110101021
4323313021330301
54024101030132
6243353535441
733613350241
oct7367117461
92528713337
101004314417
11475a00317
12240414581
131300babb2
1497551b21
155d284997
hex3bdc9f31

1004314417 has 2 divisors, whose sum is σ = 1004314418. Its totient is φ = 1004314416.

The previous prime is 1004314411. The next prime is 1004314469. The reversal of 1004314417 is 7144134001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 925619776 + 78694641 = 30424^2 + 8871^2 .

It is an emirp because it is prime and its reverse (7144134001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1004314417 - 219 = 1003790129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1004314391 and 1004314400.

It is not a weakly prime, because it can be changed into another prime (1004314411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502157208 + 502157209.

It is an arithmetic number, because the mean of its divisors is an integer number (502157209).

Almost surely, 21004314417 is an apocalyptic number.

It is an amenable number.

1004314417 is a deficient number, since it is larger than the sum of its proper divisors (1).

1004314417 is an equidigital number, since it uses as much as digits as its factorization.

1004314417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 1004314417 is about 31690.9201033987. The cubic root of 1004314417 is about 1001.4360756994.

Adding to 1004314417 its reverse (7144134001), we get a palindrome (8148448418).

The spelling of 1004314417 in words is "one billion, four million, three hundred fourteen thousand, four hundred seventeen".