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7344106541 is a prime number
BaseRepresentation
bin1101101011011111…
…00010110000101101
3200221211020021012222
412311233202300231
5110020042402131
63212425405125
7346664606222
oct66557426055
920854207188
107344106541
113129613a42
12150b6397a5
139006a7795
144d9531949
152ceb3b87b
hex1b5be2c2d

7344106541 has 2 divisors, whose sum is σ = 7344106542. Its totient is φ = 7344106540.

The previous prime is 7344106507. The next prime is 7344106543. The reversal of 7344106541 is 1456014437.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7050121225 + 293985316 = 83965^2 + 17146^2 .

It is a cyclic number.

It is not a de Polignac number, because 7344106541 - 226 = 7276997677 is a prime.

It is a super-3 number, since 3×73441065413 (a number of 31 digits) contains 333 as substring.

Together with 7344106543, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (7344106543) 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, 3672053270 + 3672053271.

It is an arithmetic number, because the mean of its divisors is an integer number (3672053271).

Almost surely, 27344106541 is an apocalyptic number.

It is an amenable number.

7344106541 is a deficient number, since it is larger than the sum of its proper divisors (1).

7344106541 is an equidigital number, since it uses as much as digits as its factorization.

7344106541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 7344106541 is about 85697.7627537615. The cubic root of 7344106541 is about 1943.7764802712.

The spelling of 7344106541 in words is "seven billion, three hundred forty-four million, one hundred six thousand, five hundred forty-one".