Search a number
-
+
3034344060 = 22325119831559
BaseRepresentation
bin1011010011011100…
…0110101001111100
321211110122122112100
42310313012221330
522203243002220
61221032305100
7135123333066
oct26467065174
97743578470
103034344060
111317898670
12708242190
1339484a877
1420adc6736
1512b5c9d90
hexb4dc6a7c

3034344060 has 144 divisors (see below), whose sum is σ = 10057582080. Its totient is φ = 734378880.

The previous prime is 3034344043. The next prime is 3034344067. The reversal of 3034344060 is 604434303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3034344067) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1945561 + ... + 1947119.

It is an arithmetic number, because the mean of its divisors is an integer number (69844320).

Almost surely, 23034344060 is an apocalyptic number.

3034344060 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 3034344060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5028791040).

3034344060 is an abundant number, since it is smaller than the sum of its proper divisors (7023238020).

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

3034344060 is a wasteful number, since it uses less digits than its factorization.

3034344060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2568 (or 2563 counting only the distinct ones).

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

The square root of 3034344060 is about 55084.8805027296. The cubic root of 3034344060 is about 1447.7323349402.

Adding to 3034344060 its reverse (604434303), we get a palindrome (3638778363).

The spelling of 3034344060 in words is "three billion, thirty-four million, three hundred forty-four thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 983 990 1559 1966 1980 2949 3118 3932 4677 4915 5898 6236 7795 8847 9354 9830 10813 11796 14031 14745 15590 17149 17694 18708 19660 21626 23385 28062 29490 31180 32439 34298 35388 43252 44235 46770 51447 54065 56124 58980 64878 68596 70155 85745 88470 93540 97317 102894 108130 129756 140310 154341 162195 171490 176940 194634 205788 216260 257235 280620 308682 324390 342980 389268 486585 514470 617364 648780 771705 973170 1028940 1532497 1543410 1946340 3064994 3086820 4597491 6129988 7662485 9194982 13792473 15324970 16857467 18389964 22987455 27584946 30649940 33714934 45974910 50572401 55169892 67429868 68962365 84287335 91949820 101144802 137924730 151717203 168574670 202289604 252862005 275849460 303434406 337149340 505724010 606868812 758586015 1011448020 1517172030 3034344060