Search a number
-
+
350642160 = 243251144273
BaseRepresentation
bin10100111001100…
…101111111110000
3220102210110121200
4110321211333300
51204231022120
654443251200
711455260231
oct2471457760
9812713550
10350642160
1116aa23710
1299519b00
135784c58b
14347d7088
1520bb3e90
hex14e65ff0

350642160 has 120 divisors (see below), whose sum is σ = 1284654384. Its totient is φ = 85002240.

The previous prime is 350642129. The next prime is 350642189. The reversal of 350642160 is 61246053.

350642160 is a `hidden beast` number, since 3 + 5 + 0 + 642 + 16 + 0 = 666.

350642160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14217 + ... + 30056.

Almost surely, 2350642160 is an apocalyptic number.

350642160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

350642160 is an abundant number, since it is smaller than the sum of its proper divisors (934012224).

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

350642160 is a wasteful number, since it uses less digits than its factorization.

350642160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44303 (or 44294 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 350642160 is about 18725.4415168241. The cubic root of 350642160 is about 705.1606092509.

The spelling of 350642160 in words is "three hundred fifty million, six hundred forty-two thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 33 36 40 44 45 48 55 60 66 72 80 88 90 99 110 120 132 144 165 176 180 198 220 240 264 330 360 396 440 495 528 660 720 792 880 990 1320 1584 1980 2640 3960 7920 44273 88546 132819 177092 221365 265638 354184 398457 442730 487003 531276 664095 708368 796914 885460 974006 1062552 1328190 1461009 1593828 1770920 1948012 1992285 2125104 2435015 2656380 2922018 3187656 3541840 3896024 3984570 4383027 4870030 5312760 5844036 6375312 7305045 7792048 7969140 8766054 9740060 10625520 11688072 14610090 15938280 17532108 19480120 21915135 23376144 29220180 31876560 35064216 38960240 43830270 58440360 70128432 87660540 116880720 175321080 350642160