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351296305345 = 51572336772837
BaseRepresentation
bin1010001110010101110…
…01000011100011000001
31020120202102222100000001
411013022321003203001
521223423323232340
6425214443000001
734244310220066
oct5071271034301
91216672870001
10351296305345
11125a90673787
1258100509001
13271863119cb
1413007ab0c6d
159210c6429a
hex51cae438c1

351296305345 has 32 divisors (see below), whose sum is σ = 426841148448. Its totient is φ = 277539944448.

The previous prime is 351296305331. The next prime is 351296305357. The reversal of 351296305345 is 543503692153.

It can be written as a sum of positive squares in 16 ways, for example, as 137053222849 + 214243082496 = 370207^2 + 462864^2 .

It is a cyclic number.

It is not a de Polignac number, because 351296305345 - 215 = 351296272577 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 351296305295 and 351296305304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123825267 + ... + 123828103.

It is an arithmetic number, because the mean of its divisors is an integer number (13338785889).

Almost surely, 2351296305345 is an apocalyptic number.

It is an amenable number.

351296305345 is a deficient number, since it is larger than the sum of its proper divisors (75544843103).

351296305345 is a wasteful number, since it uses less digits than its factorization.

351296305345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3909.

The product of its (nonzero) digits is 1458000, while the sum is 46.

Adding to 351296305345 its reverse (543503692153), we get a palindrome (894799997498).

The spelling of 351296305345 in words is "three hundred fifty-one billion, two hundred ninety-six million, three hundred five thousand, three hundred forty-five".

Divisors: 1 5 157 233 677 785 1165 2837 3385 14185 36581 106289 157741 182905 445409 531445 661021 788705 1920649 2227045 3305105 9603245 24765337 103780297 123826685 301541893 447511217 518901485 1507709465 2237556085 70259261069 351296305345