Search a number
-
+
3012203004 = 22317233717351
BaseRepresentation
bin1011001110001010…
…1001000111111100
321202220222202201020
42303202221013330
522132110444004
61214521544140
7134434205646
oct26342510774
97686882636
103012203004
111306345778
12700945050
13390097a55
142080a1896
151296a48d9
hexb38a91fc

3012203004 has 96 divisors (see below), whose sum is σ = 7975812096. Its totient is φ = 879436800.

The previous prime is 3012202993. The next prime is 3012203011. The reversal of 3012203004 is 4003022103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164929 + ... + 182279.

It is an arithmetic number, because the mean of its divisors is an integer number (83081376).

Almost surely, 23012203004 is an apocalyptic number.

3012203004 is a gapful number since it is divisible by the number (34) 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 3012203004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3987906048).

3012203004 is an abundant number, since it is smaller than the sum of its proper divisors (4963609092).

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

3012203004 is a wasteful number, since it uses less digits than its factorization.

3012203004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17435 (or 17433 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 3012203004 is about 54883.5403741413. The cubic root of 3012203004 is about 1444.2024556081.

Adding to 3012203004 its reverse (4003022103), we get a palindrome (7015225107).

The spelling of 3012203004 in words is "three billion, twelve million, two hundred three thousand, four".

Divisors: 1 2 3 4 6 12 17 23 34 37 46 51 68 69 74 92 102 111 138 148 204 222 276 391 444 629 782 851 1173 1258 1564 1702 1887 2346 2516 2553 3404 3774 4692 5106 7548 10212 14467 17351 28934 34702 43401 52053 57868 69404 86802 104106 173604 208212 294967 399073 589934 641987 798146 884901 1179868 1197219 1283974 1596292 1769802 1925961 2394438 2567948 3539604 3851922 4788876 6784241 7703844 10913779 13568482 14765701 20352723 21827558 27136964 29531402 32741337 40705446 43655116 44297103 59062804 65482674 81410892 88594206 130965348 177188412 251016917 502033834 753050751 1004067668 1506101502 3012203004