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354343455361 = 7297461161717
BaseRepresentation
bin1010010100000001000…
…01000000101010000001
31020212121210201121000001
411022000201000222001
521301143411032421
6430441054000001
734412650450300
oct5120041005201
91225553647001
10354343455361
11127304708685
1258810aa6001
13275506c435c
141321666c437
15933d51d691
hex5280840a81

354343455361 has 24 divisors (see below), whose sum is σ = 417350817576. Its totient is φ = 299937899520.

The previous prime is 354343455313. The next prime is 354343455379. The reversal of 354343455361 is 163554343453.

It can be written as a sum of positive squares in 4 ways, for example, as 62159963761 + 292183491600 = 249319^2 + 540540^2 .

It is not a de Polignac number, because 354343455361 - 27 = 354343455233 is a prime.

It is a super-3 number, since 3×3543434553613 (a number of 36 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (354343455061) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2110275 + ... + 2271991.

It is an arithmetic number, because the mean of its divisors is an integer number (17389617399).

Almost surely, 2354343455361 is an apocalyptic number.

It is an amenable number.

354343455361 is a deficient number, since it is larger than the sum of its proper divisors (63007362215).

354343455361 is a wasteful number, since it uses less digits than its factorization.

354343455361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162289 (or 162282 counting only the distinct ones).

The product of its digits is 3888000, while the sum is 46.

The spelling of 354343455361 in words is "three hundred fifty-four billion, three hundred forty-three million, four hundred fifty-five thousand, three hundred sixty-one".

Divisors: 1 7 49 97 461 679 3227 4753 22589 44717 161717 313019 1132019 2191133 7924133 15686549 74551537 109805843 521860759 768640901 3653025313 7231499089 50620493623 354343455361