Search a number
-
+
200342002344 = 233113738353551
BaseRepresentation
bin1011101010010101010…
…0000101101010101000
3201011010011211012111220
42322211110011222220
511240300023033334
6232011424222040
720321442631251
oct2724524055250
9634104735456
10200342002344
1177a67923670
12329b216a920
1315b7a135023
1499a76a9b28
1553284cd449
hex2ea5505aa8

200342002344 has 128 divisors (see below), whose sum is σ = 562630164480. Its totient is φ = 58913568000.

The previous prime is 200342002321. The next prime is 200342002351. The reversal of 200342002344 is 443200243002.

It is a super-3 number, since 3×2003420023443 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3714369 + ... + 3767919.

It is an arithmetic number, because the mean of its divisors is an integer number (4395548160).

Almost surely, 2200342002344 is an apocalyptic number.

200342002344 is a gapful number since it is divisible by the number (24) 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 200342002344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281315082240).

200342002344 is an abundant number, since it is smaller than the sum of its proper divisors (362288162136).

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

200342002344 is a wasteful number, since it uses less digits than its factorization.

200342002344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53991 (or 53987 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 200342002344 its reverse (443200243002), we get a palindrome (643542245346).

The spelling of 200342002344 in words is "two hundred billion, three hundred forty-two million, two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 37 44 66 74 88 111 132 148 222 264 296 383 407 444 766 814 888 1149 1221 1532 1628 2298 2442 3064 3256 4213 4596 4884 8426 9192 9768 12639 14171 16852 25278 28342 33704 42513 50556 53551 56684 85026 101112 107102 113368 155881 160653 170052 214204 311762 321306 340104 428408 467643 589061 623524 642612 935286 1178122 1247048 1285224 1767183 1870572 1981387 2356244 3534366 3741144 3962774 4712488 5944161 7068732 7925548 11888322 14137464 15851096 20510033 21795257 23776644 41020066 43590514 47553288 61530099 65385771 82040132 87181028 123060198 130771542 164080264 174362056 225610363 246120396 261543084 451220726 492240792 523086168 676831089 758871221 902441452 1353662178 1517742442 1804882904 2276613663 2707324356 3035484884 4553227326 5414648712 6070969768 8347583431 9106454652 16695166862 18212909304 25042750293 33390333724 50085500586 66780667448 100171001172 200342002344