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3405415337 is a prime number
BaseRepresentation
bin1100101011111010…
…1000001110101001
322210022220000121222
43022332220032221
523433241242322
61321525511425
7150250360412
oct31276501651
98708800558
103405415337
1114982a4a45
127b0572575
134236a097c
142443ba809
1514de76e42
hexcafa83a9

3405415337 has 2 divisors, whose sum is σ = 3405415338. Its totient is φ = 3405415336.

The previous prime is 3405415331. The next prime is 3405415339. The reversal of 3405415337 is 7335145043.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3070378921 + 335036416 = 55411^2 + 18304^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3405415337 is a prime.

Together with 3405415339, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 3405415297 and 3405415306.

It is not a weakly prime, because it can be changed into another prime (3405415331) 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 as a sum of consecutive naturals, namely, 1702707668 + 1702707669.

It is an arithmetic number, because the mean of its divisors is an integer number (1702707669).

Almost surely, 23405415337 is an apocalyptic number.

It is an amenable number.

3405415337 is a deficient number, since it is larger than the sum of its proper divisors (1).

3405415337 is an equidigital number, since it uses as much as digits as its factorization.

3405415337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 75600, while the sum is 35.

The square root of 3405415337 is about 58355.9366045992. The cubic root of 3405415337 is about 1504.4925073377.

The spelling of 3405415337 in words is "three billion, four hundred five million, four hundred fifteen thousand, three hundred thirty-seven".