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166168340 = 225134389167
BaseRepresentation
bin10011110011110…
…00011100010100
3102120200020002222
421321320130110
5320014341330
624253321512
74055256542
oct1171703424
9376606088
10166168340
1185885808
1247796298
1328570280
14180d6d92
15e8c50e5
hex9e78714

166168340 has 96 divisors (see below), whose sum is σ = 391184640. Its totient is φ = 58899456.

The previous prime is 166168337. The next prime is 166168349. The reversal of 166168340 is 43861661.

166168340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1661683402 = 55223834436711200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 166168340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166168349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 994937 + ... + 995103.

It is an arithmetic number, because the mean of its divisors is an integer number (4074840).

Almost surely, 2166168340 is an apocalyptic number.

166168340 is a gapful number since it is divisible by the number (10) 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 166168340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195592320).

166168340 is an abundant number, since it is smaller than the sum of its proper divisors (225016300).

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

166168340 is a wasteful number, since it uses less digits than its factorization.

166168340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 166168340 is about 12890.6299303021. The cubic root of 166168340 is about 549.7721811289.

The spelling of 166168340 in words is "one hundred sixty-six million, one hundred sixty-eight thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 43 52 65 86 89 130 167 172 178 215 260 334 356 430 445 559 668 835 860 890 1118 1157 1670 1780 2171 2236 2314 2795 3340 3827 4342 4628 5590 5785 7181 7654 8684 10855 11180 11570 14362 14863 15308 19135 21710 23140 28724 29726 35905 38270 43420 49751 59452 71810 74315 76540 93353 99502 143620 148630 186706 193219 199004 248755 297260 373412 386438 466765 497510 639109 772876 933530 966095 995020 1278218 1867060 1932190 2556436 3195545 3864380 6391090 8308417 12782180 16616834 33233668 41542085 83084170 166168340