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348216822338 = 27211254192
BaseRepresentation
bin1010001000100110101…
…01110000101001000010
31020021210211101101110212
411010103111300221002
521201122001303323
6423545114554122
734105065103400
oct5042325605102
91207724341425
10348216822338
11124750355600
12575a1138942
1326ab531b508
1412bd4ad8470
1590d071eb78
hex5113570a42

348216822338 has 54 divisors (see below), whose sum is σ = 667984220883. Its totient is φ = 135643856040.

The previous prime is 348216822337. The next prime is 348216822451. The reversal of 348216822338 is 833228612843.

It can be written as a sum of positive squares in only one way, i.e., 174108411169 + 174108411169 = 417263^2 + 417263^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=417263.

It is not an unprimeable number, because it can be changed into a prime (348216822337) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 64255793 + ... + 64261211.

Almost surely, 2348216822338 is an apocalyptic number.

348216822338 is a deficient number, since it is larger than the sum of its proper divisors (319767398545).

348216822338 is an frugal number, since it uses more digits than its factorization.

348216822338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10876 (or 5439 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 50.

Multiplying 348216822338 by its sum of digits (50), we get a square (17410841116900 = 41726302).

The spelling of 348216822338 in words is "three hundred forty-eight billion, two hundred sixteen million, eight hundred twenty-two thousand, three hundred thirty-eight".

Divisors: 1 2 7 11 14 22 49 77 98 121 154 242 539 847 1078 1694 5419 5929 10838 11858 37933 59609 75866 119218 265531 417263 531062 655699 834526 1311398 2920841 4589893 5841682 9179786 29365561 32129251 58731122 64258502 205558927 323021171 411117854 646042342 1438912489 2261148197 2877824978 3553232881 4522296394 7106465762 15828037379 24872630167 31656074758 49745260334 174108411169 348216822338