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347285097481 = 7229229032
BaseRepresentation
bin1010000110110111100…
…11100000110000001001
31020012101220011212020211
411003123303200300021
521142214441104411
6423312432521121
734043022423400
oct5033363406011
91205356155224
10347285097481
11124312424963
12573810b01a1
1326997297a2a
1412b47080637
159078a28221
hex50dbce0c09

347285097481 has 27 divisors (see below), whose sum is σ = 418539749511. Its totient is φ = 287309352624.

The previous prime is 347285097451. The next prime is 347285097491. The reversal of 347285097481 is 184790582743.

The square root of 347285097481 is 589309.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 182107881081 + 165177216400 = 426741^2 + 406420^2 .

It is not a de Polignac number, because 347285097481 - 213 = 347285089289 is a prime.

It is a super-2 number, since 2×3472850974812 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (347285097451) 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 26 ways as a sum of consecutive naturals, for example, 119628276 + ... + 119631178.

Almost surely, 2347285097481 is an apocalyptic number.

347285097481 is the 589309-th square number.

347285097481 is the 294655-th centered octagonal number.

It is an amenable number.

347285097481 is a deficient number, since it is larger than the sum of its proper divisors (71254652030).

347285097481 is an frugal number, since it uses more digits than its factorization.

347285097481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5878 (or 2939 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 58.

The spelling of 347285097481 in words is "three hundred forty-seven billion, two hundred eighty-five million, ninety-seven thousand, four hundred eighty-one".

Divisors: 1 7 29 49 203 841 1421 2903 5887 20321 41209 84187 142247 589309 2441423 4125163 8427409 17089961 58991863 119629727 244394861 412943041 1710764027 7087450969 11975348189 49612156783 347285097481