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2423434300 = 2252729313851
BaseRepresentation
bin1001000001110010…
…1010110000111100
320020220010012212221
42100130222300330
514430344344200
61040250335124
7114024565060
oct22034526074
96226105787
102423434300
111033a69071
1257772a4a4
132c81022c1
1418dbddaa0
15e2b5491a
hex9072ac3c

2423434300 has 144 divisors (see below), whose sum is σ = 6419589120. Its totient is φ = 776160000.

The previous prime is 2423434289. The next prime is 2423434301. The reversal of 2423434300 is 34343242.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2423434301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 627375 + ... + 631225.

It is an arithmetic number, because the mean of its divisors is an integer number (44580480).

Almost surely, 22423434300 is an apocalyptic number.

2423434300 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 2423434300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3209794560).

2423434300 is an abundant number, since it is smaller than the sum of its proper divisors (3996154820).

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

2423434300 is a wasteful number, since it uses less digits than its factorization.

2423434300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3932 (or 3925 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 25.

The square root of 2423434300 is about 49228.3891672275. The cubic root of 2423434300 is about 1343.2094857298.

Adding to 2423434300 its reverse (34343242), we get a palindrome (2457777542).

The spelling of 2423434300 in words is "two billion, four hundred twenty-three million, four hundred thirty-four thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 29 31 35 50 58 62 70 100 116 124 140 145 155 175 203 217 290 310 350 406 434 580 620 700 725 775 812 868 899 1015 1085 1450 1550 1798 2030 2170 2900 3100 3596 3851 4060 4340 4495 5075 5425 6293 7702 8990 10150 10850 12586 15404 17980 19255 20300 21700 22475 25172 26957 31465 38510 44950 53914 62930 77020 89900 96275 107828 111679 119381 125860 134785 157325 192550 223358 238762 269570 314650 385100 446716 477524 539140 558395 596905 629300 673925 781753 835667 1116790 1193810 1347850 1563506 1671334 2233580 2387620 2695700 2791975 2984525 3127012 3342668 3462049 3908765 4178335 5583950 5969050 6924098 7817530 8356670 11167900 11938100 13848196 15635060 16713340 17310245 19543825 20891675 24234343 34620490 39087650 41783350 48468686 69240980 78175300 83566700 86551225 96937372 121171715 173102450 242343430 346204900 484686860 605858575 1211717150 2423434300