Search a number
-
+
344021314304301 = 317137224832189981
BaseRepresentation
bin100111000111000101011010…
…0001110111111100100101101
31200010002010010220012010220120
41032032022310032333210231
5330042421122430214201
63215401113210035153
7132314501605251624
oct11616126416774455
91603063126163816
10344021314304301
119a685690342487
1232701776118ab9
13119c60bc54868a
1460d4a12cdc6bb
1529b8bb586a536
hex138e2b43bf92d

344021314304301 has 32 divisors (see below), whose sum is σ = 489244221341568. Its totient is φ = 214271287326720.

The previous prime is 344021314304237. The next prime is 344021314304303. The reversal of 344021314304301 is 103403413120443.

It is not a de Polignac number, because 344021314304301 - 26 = 344021314304237 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 (344021314304303) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155993731 + ... + 158183711.

It is an arithmetic number, because the mean of its divisors is an integer number (15288881916924).

Almost surely, 2344021314304301 is an apocalyptic number.

It is an amenable number.

344021314304301 is a deficient number, since it is larger than the sum of its proper divisors (145222907037267).

344021314304301 is a wasteful number, since it uses less digits than its factorization.

344021314304301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2212621.

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 344021314304301 its reverse (103403413120443), we get a palindrome (447424727424744).

The spelling of 344021314304301 in words is "three hundred forty-four trillion, twenty-one billion, three hundred fourteen million, three hundred four thousand, three hundred one".

Divisors: 1 3 17 51 137 411 2329 6987 22483 67449 382211 1146633 2189981 3080171 6569943 9240513 37229677 52362907 111689031 157088721 300027397 900082191 5100465749 15301397247 49237342823 147712028469 837034827991 2511104483973 6745515966751 20236547900253 114673771434767 344021314304301