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349034862449 = 713171440115667
BaseRepresentation
bin1010001010001000001…
…10010101011101110001
31020100220211200010112202
411011010012111131301
521204310411044244
6424202220232545
734134260244110
oct5050406253561
91210824603482
10349034862449
11125030098209
125778b09b755
1326bb5949710
1412c715dbc77
15912c45c04e
hex5144195771

349034862449 has 32 divisors (see below), whose sum is σ = 454911480576. Its totient is φ = 259880140800.

The previous prime is 349034862431. The next prime is 349034862521. The reversal of 349034862449 is 944268430943.

It is not a de Polignac number, because 349034862449 - 212 = 349034858353 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 349034862394 and 349034862403.

It is not an unprimeable number, because it can be changed into a prime (349034802449) by changing a digit.

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, 22270514 + ... + 22286180.

It is an arithmetic number, because the mean of its divisors is an integer number (14215983768).

Almost surely, 2349034862449 is an apocalyptic number.

It is an amenable number.

349034862449 is a deficient number, since it is larger than the sum of its proper divisors (105876618127).

349034862449 is a wasteful number, since it uses less digits than its factorization.

349034862449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30105.

The product of its (nonzero) digits is 17915904, while the sum is 56.

The spelling of 349034862449 in words is "three hundred forty-nine billion, thirty-four million, eight hundred sixty-two thousand, four hundred forty-nine".

Divisors: 1 7 13 17 91 119 221 1547 14401 15667 100807 109669 187213 203671 244817 266339 1310491 1425697 1713719 1864373 3182621 3462407 22278347 24236849 225620467 1579343269 2933066071 3835547939 20531462497 26848835573 49862123207 349034862449