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200403104 = 2511273709
BaseRepresentation
bin10111111000111…
…10100010100000
3111222002112101012
423330132202200
5402300344404
631515200052
74652253416
oct1374364240
9458075335
10200403104
11a3138900
1257146028
1332698925
141c8892b6
15128d8a6e
hexbf1e8a0

200403104 has 72 divisors (see below), whose sum is σ = 440232660. Its totient is φ = 89717760.

The previous prime is 200403101. The next prime is 200403131. The reversal of 200403104 is 401304002.

200403104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 194546704 + 5856400 = 13948^2 + 2420^2 .

It is a super-2 number, since 2×2004031042 = 80322808185669632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (200403101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 282302 + ... + 283010.

Almost surely, 2200403104 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 200403104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220116330).

200403104 is an abundant number, since it is smaller than the sum of its proper divisors (239829556).

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

200403104 is a wasteful number, since it uses less digits than its factorization.

200403104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 200403104 is about 14156.3803283184. The cubic root of 200403104 is about 585.1961783910.

Adding to 200403104 its reverse (401304002), we get a palindrome (601707106).

It can be divided in two parts, 200 and 403104, that added together give a palindrome (403304).

The spelling of 200403104 in words is "two hundred million, four hundred three thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 73 88 121 146 176 242 292 352 484 584 709 803 968 1168 1418 1606 1936 2336 2836 3212 3872 5672 6424 7799 8833 11344 12848 15598 17666 22688 25696 31196 35332 51757 62392 70664 85789 103514 124784 141328 171578 207028 249568 282656 343156 414056 569327 686312 828112 1138654 1372624 1656224 2277308 2745248 4554616 6262597 9109232 12525194 18218464 25050388 50100776 100201552 200403104