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344857356845 = 54114916976653
BaseRepresentation
bin1010000010010110001…
…10011010101000101101
31012222010200221212011222
411001023012122220231
521122231440404340
6422231505553125
733625613111351
oct5011306325055
91188120855158
10344857356845
11123286a95441
1256a040457a5
132669b318601
141299687d461
158e858228b5
hex504b19aa2d

344857356845 has 32 divisors (see below), whose sum is σ = 427082997600. Its totient is φ = 267152834560.

The previous prime is 344857356761. The next prime is 344857356847. The reversal of 344857356845 is 548653758443.

It can be written as a sum of positive squares in 16 ways, for example, as 238771004164 + 106086352681 = 488642^2 + 325709^2 .

It is not a de Polignac number, because 344857356845 - 228 = 344588921389 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344857356847) 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, 51831539 + ... + 51838191.

It is an arithmetic number, because the mean of its divisors is an integer number (13346343675).

Almost surely, 2344857356845 is an apocalyptic number.

It is an amenable number.

344857356845 is a deficient number, since it is larger than the sum of its proper divisors (82225640755).

344857356845 is a wasteful number, since it uses less digits than its factorization.

344857356845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8545.

The product of its digits is 193536000, while the sum is 62.

The spelling of 344857356845 in words is "three hundred forty-four billion, eight hundred fifty-seven million, three hundred fifty-six thousand, eight hundred forty-five".

Divisors: 1 5 41 149 205 745 1697 6109 6653 8485 30545 33265 69577 252853 272773 347885 991297 1264265 1363865 4956485 10366973 11290141 40643177 51834865 56450705 203215885 462895781 1682231009 2314478905 8411155045 68971471369 344857356845