Search a number
-
+
2424043300 = 2252729432777
BaseRepresentation
bin1001000001111011…
…1111011100100100
320020221021011021111
42100132333130210
514431023341200
61040311354404
7114033012430
oct22036773444
96227234244
102424043300
111034344678
12577982a04
132c8286563
1418dd1b9c0
15e2c250ba
hex907bf724

2424043300 has 144 divisors (see below), whose sum is σ = 6365842560. Its totient is φ = 783498240.

The previous prime is 2424043273. The next prime is 2424043309. The reversal of 2424043300 is 33404242.

It is not an unprimeable number, because it can be changed into a prime (2424043309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 871512 + ... + 874288.

It is an arithmetic number, because the mean of its divisors is an integer number (44207240).

Almost surely, 22424043300 is an apocalyptic number.

2424043300 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 2424043300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3182921280).

2424043300 is an abundant number, since it is smaller than the sum of its proper divisors (3941799260).

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

2424043300 is a wasteful number, since it uses less digits than its factorization.

2424043300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2870 (or 2863 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 2424043300 is about 49234.5742339669. The cubic root of 2424043300 is about 1343.3219908174.

Adding to 2424043300 its reverse (33404242), we get a palindrome (2457447542).

The spelling of 2424043300 in words is "two billion, four hundred twenty-four million, forty-three thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 29 35 43 50 58 70 86 100 116 140 145 172 175 203 215 290 301 350 406 430 580 602 700 725 812 860 1015 1075 1204 1247 1450 1505 2030 2150 2494 2777 2900 3010 4060 4300 4988 5075 5554 6020 6235 7525 8729 10150 11108 12470 13885 15050 17458 19439 20300 24940 27770 30100 31175 34916 38878 43645 55540 62350 69425 77756 80533 87290 97195 119411 124700 138850 161066 174580 194390 218225 238822 277700 322132 388780 402665 436450 477644 485975 563731 597055 805330 835877 872900 971950 1127462 1194110 1610660 1671754 1943900 2013325 2254924 2388220 2818655 2985275 3343508 3462919 4026650 4179385 5637310 5970550 6925838 8053300 8358770 11274620 11941100 13851676 14093275 16717540 17314595 20896925 24240433 28186550 34629190 41793850 48480866 56373100 69258380 83587700 86572975 96961732 121202165 173145950 242404330 346291900 484808660 606010825 1212021650 2424043300