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200442340 = 2257361479
BaseRepresentation
bin10111111001010…
…00000111100100
3111222011112012101
423330220013210
5402303123330
631520101444
74652506000
oct1374500744
9458145171
10200442340
11a316532a
1257164884
13326b0747
141c899700
15128e54ca
hexbf281e4

200442340 has 96 divisors (see below), whose sum is σ = 499968000. Its totient is φ = 67455360.

The previous prime is 200442337. The next prime is 200442349. The reversal of 200442340 is 43244002.

200442340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200442349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 418221 + ... + 418699.

It is an arithmetic number, because the mean of its divisors is an integer number (5208000).

Almost surely, 2200442340 is an apocalyptic number.

200442340 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 200442340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249984000).

200442340 is an abundant number, since it is smaller than the sum of its proper divisors (299525660).

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

200442340 is a wasteful number, since it uses less digits than its factorization.

200442340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 200442340 is about 14157.7660667211. The cubic root of 200442340 is about 585.2343668530.

Adding to 200442340 its reverse (43244002), we get a palindrome (243686342).

It can be divided in two parts, 2004 and 42340, that added together give a palindrome (44344).

The spelling of 200442340 in words is "two hundred million, four hundred forty-two thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 61 70 98 122 140 196 244 245 305 343 427 479 490 610 686 854 958 980 1220 1372 1708 1715 1916 2135 2395 2989 3353 3430 4270 4790 5978 6706 6860 8540 9580 11956 13412 14945 16765 20923 23471 29219 29890 33530 41846 46942 58438 59780 67060 83692 93884 104615 116876 117355 146095 164297 204533 209230 234710 292190 328594 409066 418460 469420 584380 657188 818132 821485 1022665 1431731 1642970 2045330 2863462 3285940 4090660 5726924 7158655 10022117 14317310 20044234 28634620 40088468 50110585 100221170 200442340