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168398406 = 233111943347
BaseRepresentation
bin10100000100110…
…00111001000110
3102201212112012000
422002120321012
5321102222111
624413210130
74113235311
oct1202307106
9381775160
10168398406
1187069240
1248490946
1328b71337
1418517978
15ebb5c56
hexa098e46

168398406 has 128 divisors (see below), whose sum is σ = 440985600. Its totient is φ = 47083680.

The previous prime is 168398393. The next prime is 168398423. The reversal of 168398406 is 604893861.

168398406 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 485125 + ... + 485471.

It is an arithmetic number, because the mean of its divisors is an integer number (3445200).

Almost surely, 2168398406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168398406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220492800).

168398406 is an abundant number, since it is smaller than the sum of its proper divisors (272587194).

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

168398406 is a wasteful number, since it uses less digits than its factorization.

168398406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 168398406 is about 12976.8411410482. The cubic root of 168398406 is about 552.2206702786.

The spelling of 168398406 in words is "one hundred sixty-eight million, three hundred ninety-eight thousand, four hundred six".

Divisors: 1 2 3 6 9 11 18 19 22 27 33 38 43 54 57 66 86 99 114 129 171 198 209 258 297 342 347 387 418 473 513 594 627 694 774 817 946 1026 1041 1161 1254 1419 1634 1881 2082 2322 2451 2838 3123 3762 3817 4257 4902 5643 6246 6593 7353 7634 8514 8987 9369 11286 11451 12771 13186 14706 14921 17974 18738 19779 22059 22902 25542 26961 29842 34353 39558 44118 44763 53922 59337 68706 72523 80883 89526 103059 118674 134289 145046 161766 164131 178011 206118 217569 242649 268578 283499 328262 356022 402867 435138 485298 492393 566998 652707 805734 850497 984786 1305414 1477179 1700994 1958121 2551491 2954358 3118489 3916242 4431537 5102982 6236978 7654473 8863074 9355467 15308946 18710934 28066401 56132802 84199203 168398406