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345161530385 = 5721408822573
BaseRepresentation
bin1010000010111010011…
…10101111110000010001
31012222220220022110211122
411001131032233300101
521123342322433020
6422322013252025
733636265412600
oct5013516576021
91188826273748
10345161530385
1112342275a531
1256a89a94015
1326719347c59
14129c501ba37
158ea23a8125
hex505d3afc11

345161530385 has 12 divisors (see below), whose sum is σ = 481817320308. Its totient is φ = 236682192096.

The previous prime is 345161530331. The next prime is 345161530391. The reversal of 345161530385 is 583035161543.

It can be written as a sum of positive squares in 2 ways, for example, as 77945939344 + 267215591041 = 279188^2 + 516929^2 .

It is not a de Polignac number, because 345161530385 - 212 = 345161526289 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 704411042 + ... + 704411531.

It is an arithmetic number, because the mean of its divisors is an integer number (40151443359).

Almost surely, 2345161530385 is an apocalyptic number.

345161530385 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

345161530385 is a deficient number, since it is larger than the sum of its proper divisors (136655789923).

345161530385 is a wasteful number, since it uses less digits than its factorization.

345161530385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1408822592 (or 1408822585 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 44.

The spelling of 345161530385 in words is "three hundred forty-five billion, one hundred sixty-one million, five hundred thirty thousand, three hundred eighty-five".

Divisors: 1 5 7 35 49 245 1408822573 7044112865 9861758011 49308790055 69032306077 345161530385