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354302528345 = 553972142097
BaseRepresentation
bin1010010011111100001…
…00111000101101011001
31020212111221201021200122
411021332010320231121
521301102421401340
6430433032443025
734411642541453
oct5117604705531
91225457637618
10354302528345
111272935a45a7
12587bb249475
132754509489c
14132110572d3
159339b36db5
hex527e138b59

354302528345 has 24 divisors (see below), whose sum is σ = 437699922264. Its totient is φ = 275225174016.

The previous prime is 354302528311. The next prime is 354302528353. The reversal of 354302528345 is 543825203453.

It can be written as a sum of positive squares in 12 ways, for example, as 86720826256 + 267581702089 = 294484^2 + 517283^2 .

It is not a de Polignac number, because 354302528345 - 210 = 354302527321 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 354302528296 and 354302528305.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2422337 + ... + 2564433.

It is an arithmetic number, because the mean of its divisors is an integer number (18237496761).

Almost surely, 2354302528345 is an apocalyptic number.

It is an amenable number.

354302528345 is a deficient number, since it is larger than the sum of its proper divisors (83397393919).

354302528345 is an equidigital number, since it uses as much as digits as its factorization.

354302528345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142349 (or 142252 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 44.

The spelling of 354302528345 in words is "three hundred fifty-four billion, three hundred two million, five hundred twenty-eight thousand, three hundred forty-five".

Divisors: 1 5 53 97 265 485 5141 9409 25705 47045 142097 498677 710485 2493385 7531141 13783409 37655705 68917045 730520677 1336990673 3652603385 6684953365 70860505669 354302528345