Search a number
-
+
240330105 = 335172329157
BaseRepresentation
bin11100101001100…
…10010101111001
3121202020000221000
432110302111321
5443011030410
635503035213
75645525601
oct1624622571
9552200830
10240330105
11113729624
126859bb09
133aa38182
1423cbdc01
1516173dc0
hexe532579

240330105 has 128 divisors (see below), whose sum is σ = 491443200. Its totient is φ = 110702592.

The previous prime is 240330061. The next prime is 240330113. The reversal of 240330105 is 501033042.

It is not a de Polignac number, because 240330105 - 214 = 240313721 is a prime.

It is a super-2 number, since 2×2403301052 = 115517118738622050, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1530687 + ... + 1530843.

It is an arithmetic number, because the mean of its divisors is an integer number (3839400).

Almost surely, 2240330105 is an apocalyptic number.

It is an amenable number.

240330105 is an abundant number, since it is smaller than the sum of its proper divisors (251113095).

240330105 is a wasteful number, since it uses less digits than its factorization.

240330105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 240330105 is about 15502.5838168997. The cubic root of 240330105 is about 621.7312909345.

Adding to 240330105 its reverse (501033042), we get a palindrome (741363147).

The spelling of 240330105 in words is "two hundred forty million, three hundred thirty thousand, one hundred five".

Divisors: 1 3 5 9 15 17 23 27 29 45 51 69 85 87 115 135 145 153 157 207 255 261 345 391 435 459 471 493 621 667 765 783 785 1035 1173 1305 1413 1479 1955 2001 2295 2355 2465 2669 3105 3335 3519 3611 3915 4239 4437 4553 5865 6003 7065 7395 8007 10005 10557 10833 11339 13311 13345 13659 17595 18009 18055 21195 22185 22765 24021 30015 32499 34017 40035 40977 52785 54165 56695 61387 66555 68295 72063 77401 90045 97497 102051 104719 120105 122931 162495 170085 184161 204885 232203 306153 306935 314157 360315 387005 487485 510255 523595 552483 614655 696609 920805 942471 1161015 1530765 1570785 1657449 1780223 2089827 2762415 2827413 3483045 4712355 5340669 8287245 8901115 10449135 14137065 16022007 26703345 48066021 80110035 240330105