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2441234874 = 2313194140177
BaseRepresentation
bin1001000110000010…
…0100100110111010
320022010121120200110
42101200210212322
514444424003444
61042124045150
7114332103561
oct22140444672
96263546613
102441234874
111043016991
125816937b6
132cb9c55a0
14192314bd8
15e44bdcb9
hex918249ba

2441234874 has 64 divisors (see below), whose sum is σ = 5669919360. Its totient is φ = 694241280.

The previous prime is 2441234837. The next prime is 2441234879. The reversal of 2441234874 is 4784321442.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2441234879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40674 + ... + 80850.

It is an arithmetic number, because the mean of its divisors is an integer number (88592490).

Almost surely, 22441234874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2441234874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2834959680).

2441234874 is an abundant number, since it is smaller than the sum of its proper divisors (3228684486).

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

2441234874 is a wasteful number, since it uses less digits than its factorization.

2441234874 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40255.

The product of its digits is 172032, while the sum is 39.

The square root of 2441234874 is about 49408.8542065084. The cubic root of 2441234874 is about 1346.4901738959.

The spelling of 2441234874 in words is "two billion, four hundred forty-one million, two hundred thirty-four thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 13 19 26 38 39 41 57 78 82 114 123 246 247 494 533 741 779 1066 1482 1558 1599 2337 3198 4674 10127 20254 30381 40177 60762 80354 120531 241062 522301 763363 1044602 1526726 1566903 1647257 2290089 3133806 3294514 4580178 4941771 9883542 9923719 19847438 21414341 29771157 31297883 42828682 59542314 62595766 64243023 93893649 128486046 187787298 406872479 813744958 1220617437 2441234874