Search a number
-
+
241230440 = 23511323197
BaseRepresentation
bin11100110000011…
…10001001101000
3121210220202221202
432120032021220
5443223333230
635534223332
75656265513
oct1630161150
9553822852
10241230440
11114194000
1268954b48
133ac91c09
1424075d7a
15162a0a45
hexe60e268

241230440 has 128 divisors (see below), whose sum is σ = 626123520. Its totient is φ = 83480320.

The previous prime is 241230433. The next prime is 241230443. The reversal of 241230440 is 44032142.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (241230443) 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, 1224422 + ... + 1224618.

It is an arithmetic number, because the mean of its divisors is an integer number (4891590).

Almost surely, 2241230440 is an apocalyptic number.

241230440 is a gapful number since it is divisible by the number (20) 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 241230440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313061760).

241230440 is an abundant number, since it is smaller than the sum of its proper divisors (384893080).

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

241230440 is a wasteful number, since it uses less digits than its factorization.

241230440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 241230440 is about 15531.5948955669. The cubic root of 241230440 is about 622.5067089593.

Adding to 241230440 its reverse (44032142), we get a palindrome (285262582).

The spelling of 241230440 in words is "two hundred forty-one million, two hundred thirty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 88 92 110 115 121 184 197 220 230 242 253 394 440 460 484 506 605 788 920 968 985 1012 1210 1265 1331 1576 1970 2024 2167 2420 2530 2662 2783 3940 4334 4531 4840 5060 5324 5566 6655 7880 8668 9062 10120 10648 10835 11132 13310 13915 17336 18124 21670 22264 22655 23837 26620 27830 30613 36248 43340 45310 47674 49841 53240 55660 61226 86680 90620 95348 99682 111320 119185 122452 153065 181240 190696 199364 238370 244904 249205 262207 306130 398728 476740 498410 524414 548251 612260 953480 996820 1048828 1096502 1224520 1311035 1993640 2097656 2193004 2622070 2741255 4386008 5244140 5482510 6030761 10488280 10965020 12061522 21930040 24123044 30153805 48246088 60307610 120615220 241230440