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208557342 = 2347353521
BaseRepresentation
bin11000110111001…
…01010100011110
3112112102210220000
430123211110132
5411342313332
632410035130
75111464620
oct1433452436
9475383800
10208557342
11a77a8244
1259a18aa6
1334292316
141d9acc10
1513499b7c
hexc6e551e

208557342 has 80 divisors (see below), whose sum is σ = 536624352. Its totient is φ = 59304960.

The previous prime is 208557341. The next prime is 208557383. The reversal of 208557342 is 243755802.

208557342 is a `hidden beast` number, since 2 + 0 + 85 + 573 + 4 + 2 = 666.

208557342 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2085573423 (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 208557297 and 208557306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208557341) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 400042 + ... + 400562.

Almost surely, 2208557342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 208557342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268312176).

208557342 is an abundant number, since it is smaller than the sum of its proper divisors (328067010).

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

208557342 is a wasteful number, since it uses less digits than its factorization.

208557342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 208557342 is about 14441.5145327628. The cubic root of 208557342 is about 593.0279479542.

The spelling of 208557342 in words is "two hundred eight million, five hundred fifty-seven thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 353 378 521 567 706 1042 1059 1134 1563 2118 2471 3126 3177 3647 4689 4942 6354 7294 7413 9378 9531 10941 14067 14826 19062 21882 22239 28134 28593 32823 42201 44478 57186 65646 66717 84402 98469 133434 183913 196938 200151 295407 367826 400302 551739 590814 1103478 1287391 1655217 2574782 3310434 3862173 4965651 7724346 9931302 11586519 14896953 23173038 29793906 34759557 69519114 104278671 208557342