Search a number
-
+
2441243310 = 2351119834691
BaseRepresentation
bin1001000110000010…
…0110101010101110
320022010122000020220
42101200212222232
514444424241220
61042124152210
7114332140302
oct22140465256
96263560226
102441243310
111043022260
12581698666
132cb9c938c
14192317d02
15e44c1540
hex91826aae

2441243310 has 128 divisors (see below), whose sum is σ = 6810531840. Its totient is φ = 553795200.

The previous prime is 2441243293. The next prime is 2441243317. The reversal of 2441243310 is 133421442.

It is a super-2 number, since 2×24412433102 = 11919337797239512200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2441243317) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 518065 + ... + 522755.

It is an arithmetic number, because the mean of its divisors is an integer number (53207280).

Almost surely, 22441243310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2441243310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3405265920).

2441243310 is an abundant number, since it is smaller than the sum of its proper divisors (4369288530).

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

2441243310 is a wasteful number, since it uses less digits than its factorization.

2441243310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4814.

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2441243310 is about 49408.9395757488. The cubic root of 2441243310 is about 1346.4917248839.

Adding to 2441243310 its reverse (133421442), we get a palindrome (2574664752).

The spelling of 2441243310 in words is "two billion, four hundred forty-one million, two hundred forty-three thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 11 15 19 22 30 33 38 55 57 66 83 95 110 114 165 166 190 209 249 285 330 415 418 498 570 627 830 913 1045 1245 1254 1577 1826 2090 2490 2739 3135 3154 4565 4691 4731 5478 6270 7885 9130 9382 9462 13695 14073 15770 17347 23455 23655 27390 28146 34694 46910 47310 51601 52041 70365 86735 89129 103202 104082 140730 154803 173470 178258 258005 260205 267387 309606 389353 445645 516010 520410 534774 774015 778706 891290 980419 1168059 1336935 1548030 1946765 1960838 2336118 2673870 2941257 3893530 4282883 4902095 5840295 5882514 7397707 8565766 9804190 11680590 12848649 14706285 14795414 21414415 22193121 25697298 29412570 36988535 42828830 44386242 64243245 73977070 81374777 110965605 128486490 162749554 221931210 244124331 406873885 488248662 813747770 1220621655 2441243310