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200690304 = 2731771433
BaseRepresentation
bin10111111011001…
…00101010000000
3111222122010100020
423331210222000
5402334042204
631525253440
74654560633
oct1375445200
9458563306
10200690304
11a3314661
1257264280
1332769579
141c921c1a
1512943bd9
hexbf64a80

200690304 has 128 divisors (see below), whose sum is σ = 573713280. Its totient is φ = 61931520.

The previous prime is 200690261. The next prime is 200690309. The reversal of 200690304 is 403096002.

200690304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×2006903042 = 80553196239224832, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (200690309) 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 15 ways as a sum of consecutive naturals, for example, 463272 + ... + 463704.

It is an arithmetic number, because the mean of its divisors is an integer number (4482135).

Almost surely, 2200690304 is an apocalyptic number.

200690304 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 200690304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286856640).

200690304 is an abundant number, since it is smaller than the sum of its proper divisors (373022976).

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

200690304 is a wasteful number, since it uses less digits than its factorization.

200690304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 200690304 is about 14166.5205325796. The cubic root of 200690304 is about 585.4755954194.

The spelling of 200690304 in words is "two hundred million, six hundred ninety thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 71 96 102 128 136 142 192 204 213 272 284 384 408 426 433 544 568 816 852 866 1088 1136 1207 1299 1632 1704 1732 2176 2272 2414 2598 3264 3408 3464 3621 4544 4828 5196 6528 6816 6928 7242 7361 9088 9656 10392 13632 13856 14484 14722 19312 20784 22083 27264 27712 28968 29444 30743 38624 41568 44166 55424 57936 58888 61486 77248 83136 88332 92229 115872 117776 122972 154496 166272 176664 184458 231744 235552 245944 353328 368916 463488 471104 491888 522631 706656 737832 942208 983776 1045262 1413312 1475664 1567893 1967552 2090524 2826624 2951328 3135786 3935104 4181048 5902656 6271572 8362096 11805312 12543144 16724192 25086288 33448384 50172576 66896768 100345152 200690304