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3426341677444 = 2272109212132
BaseRepresentation
bin110001110111000001111…
…000001110100110000100
3110010112222122100111201001
4301313001320032212010
5422114121432134234
611142012321143044
7502354640502400
oct61670170164604
913115878314631
103426341677444
111101115609234
1247406aa8aa84
131bb14464291a
14bbb9b6d2100
155e1d89d3d14
hex31dc1e0e984

3426341677444 has 81 divisors (see below), whose sum is σ = 7045439358447. Its totient is φ = 1453760820288.

The previous prime is 3426341677379. The next prime is 3426341677453. The reversal of 3426341677444 is 4447761436243.

The square root of 3426341677444 is 1851038.

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 470307924100 + 2956033753344 = 685790^2 + 1719312^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2824683382 + ... + 2824684594.

Almost surely, 23426341677444 is an apocalyptic number.

3426341677444 is the 1851038-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3426341677444

3426341677444 is an abundant number, since it is smaller than the sum of its proper divisors (3619097681003).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3426341677444 is an equidigital number, since it uses as much as digits as its factorization.

3426341677444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2662 (or 1331 counting only the distinct ones).

The product of its digits is 32514048, while the sum is 55.

The spelling of 3426341677444 in words is "three trillion, four hundred twenty-six billion, three hundred forty-one million, six hundred seventy-seven thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 49 98 109 196 218 436 763 1213 1526 2426 3052 4852 5341 8491 10682 11881 16982 21364 23762 33964 47524 59437 83167 118874 132217 166334 237748 264434 332668 528868 582169 925519 1164338 1471369 1851038 2328676 2942738 3702076 5885476 6478633 10299583 12957266 14411653 20599166 25914532 28823306 41198332 57646612 72097081 100881571 144194162 160379221 201763142 288388324 320758442 403526284 641516884 706170997 1122654547 1412341994 2245309094 2824683988 4490618188 7858581829 15717163658 17481335089 31434327316 34962670178 69925340356 122369345623 244738691246 489477382492 856585419361 1713170838722 3426341677444