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657468353 = 1722274977
BaseRepresentation
bin100111001100000…
…010101111000001
31200211010212000202
4213030002233001
52321302441403
6145123454545
722202250233
oct4714025701
91624125022
10657468353
1130813a783
12164227455
13a629a439
1463466253
153cac0688
hex27302bc1

657468353 has 6 divisors (see below), whose sum is σ = 698418246. Its totient is φ = 618793472.

The previous prime is 657468341. The next prime is 657468359. The reversal of 657468353 is 353864756.

It can be written as a sum of positive squares in 3 ways, for example, as 112105744 + 545362609 = 10588^2 + 23353^2 .

It is not a de Polignac number, because 657468353 - 24 = 657468337 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 657468298 and 657468307.

It is not an unprimeable number, because it can be changed into a prime (657468359) 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 in 5 ways as a sum of consecutive naturals, for example, 1137200 + ... + 1137777.

It is an arithmetic number, because the mean of its divisors is an integer number (116403041).

Almost surely, 2657468353 is an apocalyptic number.

It is an amenable number.

657468353 is a deficient number, since it is larger than the sum of its proper divisors (40949893).

657468353 is a wasteful number, since it uses less digits than its factorization.

657468353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2275011 (or 2274994 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 47.

The square root of 657468353 is about 25641.1457037317. The cubic root of 657468353 is about 869.5441100294.

The spelling of 657468353 in words is "six hundred fifty-seven million, four hundred sixty-eight thousand, three hundred fifty-three".

Divisors: 1 17 289 2274977 38674609 657468353