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2440124430 = 235414394519
BaseRepresentation
bin1001000101110001…
…0101100000001110
320022001112011102220
42101130111200032
514444132440210
61042044200210
7114316500252
oct22134254016
96261464386
102440124430
111042428667
12581239066
132cb6c7013
14192106262
15e434ec70
hex9171580e

2440124430 has 64 divisors (see below), whose sum is σ = 6014131200. Its totient is φ = 633242880.

The previous prime is 2440124377. The next prime is 2440124437. The reversal of 2440124430 is 344210442.

It is a happy number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2440124430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2440124437) 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, 537711 + ... + 542229.

It is an arithmetic number, because the mean of its divisors is an integer number (93970800).

Almost surely, 22440124430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2440124430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3007065600).

2440124430 is an abundant number, since it is smaller than the sum of its proper divisors (3574006770).

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

2440124430 is a wasteful number, since it uses less digits than its factorization.

2440124430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5009.

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2440124430 is about 49397.6156307164. The cubic root of 2440124430 is about 1346.2859836976.

Adding to 2440124430 its reverse (344210442), we get a palindrome (2784334872).

The spelling of 2440124430 in words is "two billion, four hundred forty million, one hundred twenty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 205 246 410 439 615 878 1230 1317 2195 2634 4390 4519 6585 9038 13170 13557 17999 22595 27114 35998 45190 53997 67785 89995 107994 135570 179990 185279 269985 370558 539970 555837 926395 1111674 1852790 1983841 2779185 3967682 5558370 5951523 9919205 11903046 19838410 29757615 59515230 81337481 162674962 244012443 406687405 488024886 813374810 1220062215 2440124430