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345406886417 is a prime number
BaseRepresentation
bin1010000011010111101…
…10101101001000010001
31020000112222222212001002
411001223312231020101
521124343130331132
6422402220151345
733645335043365
oct5015366551021
91200488885032
10345406886417
1112353920110a
1256b38098555
1326758122938
1412a098492a5
158eb8bc1262
hex506bdad211

345406886417 has 2 divisors, whose sum is σ = 345406886418. Its totient is φ = 345406886416.

The previous prime is 345406886411. The next prime is 345406886423. The reversal of 345406886417 is 714688604543.

It is a balanced prime because it is at equal distance from previous prime (345406886411) and next prime (345406886423).

It can be written as a sum of positive squares in only one way, i.e., 316356751936 + 29050134481 = 562456^2 + 170441^2 .

It is a cyclic number.

It is not a de Polignac number, because 345406886417 - 210 = 345406885393 is a prime.

It is not a weakly prime, because it can be changed into another prime (345406886411) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 172703443208 + 172703443209.

It is an arithmetic number, because the mean of its divisors is an integer number (172703443209).

Almost surely, 2345406886417 is an apocalyptic number.

It is an amenable number.

345406886417 is a deficient number, since it is larger than the sum of its proper divisors (1).

345406886417 is an equidigital number, since it uses as much as digits as its factorization.

345406886417 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15482880, while the sum is 56.

The spelling of 345406886417 in words is "three hundred forty-five billion, four hundred six million, eight hundred eighty-six thousand, four hundred seventeen".