Search a number
-
+
241035144 = 23377431931
BaseRepresentation
bin11100101110111…
…10011110001000
3121210112212001120
432113132132020
5443201111034
635530115240
75654523240
oct1627363610
9553485046
10241035144
111140702a9
126887bb20
133ac2405c
1424024b20
1516262c49
hexe5de788

241035144 has 64 divisors (see below), whose sum is σ = 689955840. Its totient is φ = 68738880.

The previous prime is 241035143. The next prime is 241035161. The reversal of 241035144 is 441530142.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (241035143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123859 + ... + 125789.

It is an arithmetic number, because the mean of its divisors is an integer number (10780560).

Almost surely, 2241035144 is an apocalyptic number.

241035144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

241035144 is an abundant number, since it is smaller than the sum of its proper divisors (448920696).

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

241035144 is a wasteful number, since it uses less digits than its factorization.

241035144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2690 (or 2686 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 241035144 is about 15525.3065670215. The cubic root of 241035144 is about 622.3386733763.

Adding to 241035144 its reverse (441530142), we get a palindrome (682565286).

The spelling of 241035144 in words is "two hundred forty-one million, thirty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 743 1486 1931 2229 2972 3862 4458 5201 5793 5944 7724 8916 10402 11586 13517 15448 15603 17832 20804 23172 27034 31206 40551 41608 46344 54068 62412 81102 108136 124824 162204 324408 1434733 2869466 4304199 5738932 8608398 10043131 11477864 17216796 20086262 30129393 34433592 40172524 60258786 80345048 120517572 241035144