Search a number
-
+
208206342 = 233113149229
BaseRepresentation
bin11000110100011…
…11101000000110
3112111202222102000
430122033220012
5411300100332
632354330130
75105503401
oct1432175006
9474688360
10208206342
11a7588563
1259889946
133419b626
141d91ad38
151342ab7c
hexc68fa06

208206342 has 64 divisors (see below), whose sum is σ = 471960000. Its totient is φ = 68027904.

The previous prime is 208206331. The next prime is 208206343. The reversal of 208206342 is 243602802.

208206342 is a `hidden beast` number, since 2 + 0 + 8 + 20 + 634 + 2 = 666.

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 (208206343) 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 31 ways as a sum of consecutive naturals, for example, 909084 + ... + 909312.

It is an arithmetic number, because the mean of its divisors is an integer number (7374375).

Almost surely, 2208206342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 208206342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235980000).

208206342 is an abundant number, since it is smaller than the sum of its proper divisors (263753658).

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

208206342 is a wasteful number, since it uses less digits than its factorization.

208206342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 496 counting only the distinct ones).

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

The square root of 208206342 is about 14429.3569503287. The cubic root of 208206342 is about 592.6950743664.

The spelling of 208206342 in words is "two hundred eight million, two hundred six thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 113 149 226 229 298 339 447 458 678 687 894 1017 1341 1374 2034 2061 2682 3051 4023 4122 6102 6183 8046 12366 16837 25877 33674 34121 50511 51754 68242 77631 101022 102363 151533 155262 204726 232893 303066 307089 454599 465786 614178 698679 909198 921267 1397358 1842534 3855673 7711346 11567019 23134038 34701057 69402114 104103171 208206342