Search a number
-
+
3014323020 = 22325195691549
BaseRepresentation
bin1011001110101010…
…1110101101001100
321210001222110211100
42303222232231030
522133131314040
61215035223100
7134461215522
oct26352565514
97701873740
103014323020
111307563555
127015a7a90
1339065a9b7
14208494312
15129972b30
hexb3aaeb4c

3014323020 has 144 divisors (see below), whose sum is σ = 9647820000. Its totient is φ = 759684096.

The previous prime is 3014322929. The next prime is 3014323031. The reversal of 3014323020 is 203234103.

It is a super-2 number, since 2×30143230202 = 18172286537803840800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3014322984 and 3014323002.

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, 1945206 + ... + 1946754.

It is an arithmetic number, because the mean of its divisors is an integer number (66998750).

Almost surely, 23014323020 is an apocalyptic number.

3014323020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3014323020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4823910000).

3014323020 is an abundant number, since it is smaller than the sum of its proper divisors (6633496980).

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

3014323020 is a wasteful number, since it uses less digits than its factorization.

3014323020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2152 (or 2147 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3014323020 is about 54902.8507456580. The cubic root of 3014323020 is about 1444.5411904475.

Adding to 3014323020 its reverse (203234103), we get a palindrome (3217557123).

The spelling of 3014323020 in words is "three billion, fourteen million, three hundred twenty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 569 570 684 855 1138 1140 1549 1707 1710 2276 2845 3098 3414 3420 4647 5121 5690 6196 6828 7745 8535 9294 10242 10811 11380 13941 15490 17070 18588 20484 21622 23235 25605 27882 29431 30980 32433 34140 43244 46470 51210 54055 55764 58862 64866 69705 88293 92940 97299 102420 108110 117724 129732 139410 147155 162165 176586 194598 216220 264879 278820 294310 324330 353172 389196 441465 486495 529758 588620 648660 881381 882930 972990 1059516 1324395 1762762 1765860 1945980 2644143 2648790 3525524 4406905 5288286 5297580 7932429 8813810 10576572 13220715 15864858 16746239 17627620 26441430 31729716 33492478 39662145 50238717 52882860 66984956 79324290 83731195 100477434 150716151 158648580 167462390 200954868 251193585 301432302 334924780 502387170 602864604 753580755 1004774340 1507161510 3014323020