Search a number
-
+
3006434220 = 22351910692467
BaseRepresentation
bin1011001100110010…
…1000101110101100
321202112010200102120
42303030220232230
522124121343340
61214154152540
7134334161226
oct26314505654
97675120376
103006434220
111303065589
126baa22750
1338bb2807a
142073dd416
15128e154d0
hexb3328bac

3006434220 has 96 divisors (see below), whose sum is σ = 8872953600. Its totient is φ = 758502144.

The previous prime is 3006434159. The next prime is 3006434231. The reversal of 3006434220 is 224346003.

It is a happy number.

3006434220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1217427 + ... + 1219893.

It is an arithmetic number, because the mean of its divisors is an integer number (92426600).

Almost surely, 23006434220 is an apocalyptic number.

3006434220 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 3006434220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4436476800).

3006434220 is an abundant number, since it is smaller than the sum of its proper divisors (5866519380).

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

3006434220 is a wasteful number, since it uses less digits than its factorization.

3006434220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3567 (or 3565 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 3006434220 is about 54830.9604147146. The cubic root of 3006434220 is about 1443.2799174970.

The spelling of 3006434220 in words is "three billion, six million, four hundred thirty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1069 1140 2138 2467 3207 4276 4934 5345 6414 7401 9868 10690 12335 12828 14802 16035 20311 21380 24670 29604 32070 37005 40622 46873 49340 60933 64140 74010 81244 93746 101555 121866 140619 148020 187492 203110 234365 243732 281238 304665 406220 468730 562476 609330 703095 937460 1218660 1406190 2637223 2812380 5274446 7911669 10548892 13186115 15823338 26372230 31646676 39558345 50107237 52744460 79116690 100214474 150321711 158233380 200428948 250536185 300643422 501072370 601286844 751608555 1002144740 1503217110 3006434220