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3013242000 = 243531393613
BaseRepresentation
bin1011001110011010…
…0110110010010000
321202222221112221120
42303212212302100
522132342221000
61215000122240
7134446064046
oct26346466220
97688845846
103013242000
11130699534a
12701166380
1339036c942
14208292396
1512980c6a0
hexb39a6c90

3013242000 has 160 divisors (see below), whose sum is σ = 9787290240. Its totient is φ = 797529600.

The previous prime is 3013241981. The next prime is 3013242007. The reversal of 3013242000 is 2423103.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (3013242007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 832194 + ... + 835806.

It is an arithmetic number, because the mean of its divisors is an integer number (61170564).

Almost surely, 23013242000 is an apocalyptic number.

3013242000 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 3013242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4893645120).

3013242000 is an abundant number, since it is smaller than the sum of its proper divisors (6774048240).

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

3013242000 is a wasteful number, since it uses less digits than its factorization.

3013242000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3778 (or 3762 counting only the distinct ones).

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

The square root of 3013242000 is about 54893.0050188546. The cubic root of 3013242000 is about 1444.3684855958.

Adding to 3013242000 its reverse (2423103), we get a palindrome (3015665103).

The spelling of 3013242000 in words is "three billion, thirteen million, two hundred forty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 139 150 200 240 250 278 300 375 400 417 500 556 600 695 750 834 1000 1112 1200 1390 1500 1668 2000 2085 2224 2780 3000 3336 3475 3613 4170 5560 6000 6672 6950 7226 8340 10425 10839 11120 13900 14452 16680 17375 18065 20850 21678 27800 28904 33360 34750 36130 41700 43356 52125 54195 55600 57808 69500 72260 83400 86712 90325 104250 108390 139000 144520 166800 173424 180650 208500 216780 270975 278000 289040 361300 417000 433560 451625 502207 541950 722600 834000 867120 903250 1004414 1083900 1354875 1445200 1506621 1806500 2008828 2167800 2511035 2709750 3013242 3613000 4017656 4335600 5022070 5419500 6026484 7226000 7533105 8035312 10044140 10839000 12052968 12555175 15066210 20088280 21678000 24105936 25110350 30132420 37665525 40176560 50220700 60264840 62775875 75331050 100441400 120529680 125551750 150662100 188327625 200882800 251103500 301324200 376655250 502207000 602648400 753310500 1004414000 1506621000 3013242000