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206840304 = 24341121319
BaseRepresentation
bin11000101010000…
…10000111110000
3112102012120120000
430111002013300
5410422342204
632305150000
75061053646
oct1425020760
9472176500
10206840304
11a6835200
125932b300
1333b10918
141d683196
151325b039
hexc5421f0

206840304 has 150 divisors (see below), whose sum is σ = 658525560. Its totient is φ = 62631360.

The previous prime is 206840303. The next prime is 206840321. The reversal of 206840304 is 403048602.

It is a super-2 number, since 2×2068403042 = 85565822717624832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206840303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 156157 + ... + 157475.

Almost surely, 2206840304 is an apocalyptic number.

206840304 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 206840304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329262780).

206840304 is an abundant number, since it is smaller than the sum of its proper divisors (451685256).

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

206840304 is a wasteful number, since it uses less digits than its factorization.

206840304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1361 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 206840304 is about 14381.9436794892. The cubic root of 206840304 is about 591.3960086492.

Adding to 206840304 its reverse (403048602), we get a palindrome (609888906).

The spelling of 206840304 in words is "two hundred six million, eight hundred forty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 81 88 99 108 121 132 144 162 176 198 216 242 264 297 324 363 396 432 484 528 594 648 726 792 891 968 1089 1188 1296 1319 1452 1584 1782 1936 2178 2376 2638 2904 3267 3564 3957 4356 4752 5276 5808 6534 7128 7914 8712 9801 10552 11871 13068 14256 14509 15828 17424 19602 21104 23742 26136 29018 31656 35613 39204 43527 47484 52272 58036 63312 71226 78408 87054 94968 106839 116072 130581 142452 156816 159599 174108 189936 213678 232144 261162 284904 319198 348216 391743 427356 478797 522324 569808 638396 696432 783486 854712 957594 1044648 1175229 1276792 1436391 1566972 1709424 1915188 2089296 2350458 2553584 2872782 3133944 3830376 4309173 4700916 5745564 6267888 7660752 8618346 9401832 11491128 12927519 17236692 18803664 22982256 25855038 34473384 51710076 68946768 103420152 206840304