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200241342 = 2337319569
BaseRepresentation
bin10111110111101…
…11000010111110
3111221210022111000
423323313002332
5402230210332
631511511130
74651011000
oct1373670276
9457708430
10200241342
11a3038314
12570884a6
1332640102
141c846370
15128a5b7c
hexbef70be

200241342 has 128 divisors (see below), whose sum is σ = 547200000. Its totient is φ = 54105408.

The previous prime is 200241341. The next prime is 200241397. The reversal of 200241342 is 243142002.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200241341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 351634 + ... + 352202.

It is an arithmetic number, because the mean of its divisors is an integer number (4275000).

Almost surely, 2200241342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200241342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273600000).

200241342 is an abundant number, since it is smaller than the sum of its proper divisors (346958658).

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

200241342 is a wasteful number, since it uses less digits than its factorization.

200241342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 200241342 is about 14150.6657793900. The cubic root of 200241342 is about 585.0386825177.

Adding to 200241342 its reverse (243142002), we get a palindrome (443383344).

The spelling of 200241342 in words is "two hundred million, two hundred forty-one thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 49 54 57 63 98 114 126 133 147 171 189 266 294 342 343 378 399 441 513 569 686 798 882 931 1026 1029 1138 1197 1323 1707 1862 2058 2394 2646 2793 3087 3414 3591 3983 5121 5586 6174 6517 7182 7966 8379 9261 10242 10811 11949 13034 15363 16758 18522 19551 21622 23898 25137 27881 30726 32433 35847 39102 50274 55762 58653 64866 71694 75677 83643 97299 107541 117306 151354 167286 175959 194598 195167 215082 227031 250929 291897 351918 390334 454062 501858 529739 583794 585501 681093 752787 1059478 1171002 1362186 1505574 1589217 1756503 2043279 3178434 3513006 3708173 4086558 4767651 5269509 7416346 9535302 10539018 11124519 14302953 22249038 28605906 33373557 66747114 100120671 200241342