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348220370404 = 221925322932
BaseRepresentation
bin1010001000100111000…
…11010010110111100100
31020021211002001122111201
411010103203102313210
521201123403323104
6423545323012244
734105140211534
oct5042343226744
91207732048451
10348220370404
11124752359295
12575a236a084
1326ab5c9146a
1412bd537d4c4
1590d0bc10a4
hex51138d2de4

348220370404 has 81 divisors (see below), whose sum is σ = 657755299803. Its totient is φ = 161281957824.

The previous prime is 348220370371. The next prime is 348220370411. The reversal of 348220370404 is 404073022843.

The square root of 348220370404 is 590102.

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

It can be written as a sum of positive squares in 4 ways, for example, as 172223340004 + 175997030400 = 414998^2 + 419520^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1188465282 + ... + 1188465574.

Almost surely, 2348220370404 is an apocalyptic number.

348220370404 is the 590102-nd square number.

It is an amenable number.

348220370404 is a deficient number, since it is larger than the sum of its proper divisors (309534929399).

348220370404 is an equidigital number, since it uses as much as digits as its factorization.

348220370404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 37.

The spelling of 348220370404 in words is "three hundred forty-eight billion, two hundred twenty million, three hundred seventy thousand, four hundred four".

Divisors: 1 2 4 19 38 53 76 106 212 293 361 586 722 1007 1172 1444 2014 2809 4028 5567 5618 11134 11236 15529 19133 22268 31058 38266 53371 62116 76532 85849 105773 106742 171698 211546 213484 295051 343396 423092 590102 823037 1014049 1180204 1631131 1646074 2028098 3262262 3292148 4056196 4549997 5605969 6524524 9099994 11211938 15637703 18199988 22423876 30991489 31275406 61982978 62550812 86449943 123965956 172899886 241149841 297116357 345799772 482299682 594232714 964599364 1188465428 1642548917 3285097834 4581846979 6570195668 9163693958 18327387916 87055092601 174110185202 348220370404