Search a number
-
+
3420332401230 = 2325731595932621
BaseRepresentation
bin110001110001011011101…
…100101010001001001110
3110002222110211211122110100
4301301123230222021032
5422014320043314410
611135140133351530
7502053011500563
oct61613354521116
913088424748410
103420332401230
1110a9611522058
12472a724985a6
131ba6c7679894
14bb78b58a86a
155de861678c0
hex31c5bb2a24e

3420332401230 has 96 divisors (see below), whose sum is σ = 9015525529920. Its totient is φ = 899510330880.

The previous prime is 3420332401163. The next prime is 3420332401243. The reversal of 3420332401230 is 321042330243.

3420332401230 is a `hidden beast` number, since 3 + 4 + 20 + 3 + 3 + 2 + 401 + 230 = 666.

3420332401230 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3420332401194 and 3420332401203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104834320 + ... + 104866940.

It is an arithmetic number, because the mean of its divisors is an integer number (93911724270).

Almost surely, 23420332401230 is an apocalyptic number.

3420332401230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3420332401230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4507762764960).

3420332401230 is an abundant number, since it is smaller than the sum of its proper divisors (5595193128690).

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

3420332401230 is a wasteful number, since it uses less digits than its factorization.

3420332401230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48666 (or 48663 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 3420332401230 its reverse (321042330243), we get a palindrome (3741374731473).

The spelling of 3420332401230 in words is "three trillion, four hundred twenty billion, three hundred thirty-two million, four hundred one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 73 90 146 219 365 438 657 730 1095 1314 2190 3285 6570 15959 31918 32621 47877 65242 79795 95754 97863 143631 159590 163105 195726 239385 287262 293589 326210 478770 489315 587178 718155 978630 1165007 1436310 1467945 2330014 2381333 2935890 3495021 4762666 5825035 6990042 7143999 10485063 11650070 11906665 14287998 17475105 20970126 21431997 23813330 34950210 35719995 42863994 52425315 71439990 104850630 107159985 214319970 520598539 1041197078 1561795617 2602992695 3123591234 4685386851 5205985390 7808978085 9370773702 15617956170 23426934255 38003693347 46853868510 76007386694 114011080041 190018466735 228022160082 342033240123 380036933470 570055400205 684066480246 1140110800410 1710166200615 3420332401230