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3414413441 is a prime number
BaseRepresentation
bin1100101110000011…
…1101000010000001
322210221211011201002
43023200331002001
523443042212231
61322450421345
7150420015065
oct31340750201
98727734632
103414413441
1114a239039a
127b3591855
134255014aa
1424567daa5
1514eb530cb
hexcb83d081

3414413441 has 2 divisors, whose sum is σ = 3414413442. Its totient is φ = 3414413440.

The previous prime is 3414413437. The next prime is 3414413461. The reversal of 3414413441 is 1443144143.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3109177600 + 305235841 = 55760^2 + 17471^2 .

It is a cyclic number.

It is not a de Polignac number, because 3414413441 - 22 = 3414413437 is a prime.

It is not a weakly prime, because it can be changed into another prime (3414413461) 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, 1707206720 + 1707206721.

It is an arithmetic number, because the mean of its divisors is an integer number (1707206721).

Almost surely, 23414413441 is an apocalyptic number.

It is an amenable number.

3414413441 is a deficient number, since it is larger than the sum of its proper divisors (1).

3414413441 is an equidigital number, since it uses as much as digits as its factorization.

3414413441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 9216, while the sum is 29.

The square root of 3414413441 is about 58432.9824756533. The cubic root of 3414413441 is about 1505.8164451217.

Adding to 3414413441 its reverse (1443144143), we get a palindrome (4857557584).

The spelling of 3414413441 in words is "three billion, four hundred fourteen million, four hundred thirteen thousand, four hundred forty-one".