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3441430300 = 22527111074177
BaseRepresentation
bin1100110100100000…
…0000111100011100
322212211122202212111
43031020000330130
524022001232200
61325253443404
7151165450330
oct31510007434
98784582774
103441430300
111506663580
12800640564
1342aca06b9
142490b37c0
151521dd0ba
hexcd200f1c

3441430300 has 144 divisors (see below), whose sum is σ = 9399898368. Its totient is φ = 1062374400.

The previous prime is 3441430297. The next prime is 3441430301. The reversal of 3441430300 is 30341443.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3441430301) 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 47 ways as a sum of consecutive naturals, for example, 821812 + ... + 825988.

It is an arithmetic number, because the mean of its divisors is an integer number (65277072).

Almost surely, 23441430300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3441430300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4699949184).

3441430300 is an abundant number, since it is smaller than the sum of its proper divisors (5958468068).

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

3441430300 is a wasteful number, since it uses less digits than its factorization.

3441430300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4316 (or 4309 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 3441430300 is about 58663.7051335832. The cubic root of 3441430300 is about 1509.7776524502. Note that the first 3 decimals are identical.

Adding to 3441430300 its reverse (30341443), we get a palindrome (3471771743).

The spelling of 3441430300 in words is "three billion, four hundred forty-one million, four hundred thirty thousand, three hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 107 110 140 154 175 214 220 275 308 350 385 428 535 550 700 749 770 1070 1100 1177 1498 1540 1925 2140 2354 2675 2996 3745 3850 4177 4708 5350 5885 7490 7700 8239 8354 10700 11770 14980 16478 16708 18725 20885 23540 29239 29425 32956 37450 41195 41770 45947 58478 58850 74900 82390 83540 91894 104425 116956 117700 146195 164780 183788 205975 208850 229735 292390 321629 411950 417700 446939 459470 584780 643258 730975 823900 893878 918940 1148675 1286516 1461950 1608145 1787756 2234695 2297350 2923900 3128573 3216290 4469390 4594700 4916329 6257146 6432580 8040725 8938780 9832658 11173475 12514292 15642865 16081450 19665316 22346950 24581645 31285730 32162900 34414303 44693900 49163290 62571460 68828606 78214325 98326580 122908225 137657212 156428650 172071515 245816450 312857300 344143030 491632900 688286060 860357575 1720715150 3441430300