Search a number
-
+
380351160 = 23335750311
BaseRepresentation
bin10110101010111…
…011001010111000
3222111200211201000
4112222323022320
51234332214120
6101424125000
712265634340
oct2652731270
9874624630
10380351160
11185775502
12a7466760
1360a51c77
143872bd20
15235d1990
hex16abb2b8

380351160 has 128 divisors (see below), whose sum is σ = 1448985600. Its totient is φ = 86935680.

The previous prime is 380351143. The next prime is 380351173. The reversal of 380351160 is 61153083.

380351160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17596 + ... + 32715.

It is an arithmetic number, because the mean of its divisors is an integer number (11320200).

Almost surely, 2380351160 is an apocalyptic number.

380351160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

380351160 is an abundant number, since it is smaller than the sum of its proper divisors (1068634440).

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

380351160 is a wasteful number, since it uses less digits than its factorization.

380351160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50338 (or 50328 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 380351160 is about 19502.5936736630. The cubic root of 380351160 is about 724.5386902853.

The spelling of 380351160 in words is "three hundred eighty million, three hundred fifty-one thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 84 90 105 108 120 126 135 140 168 180 189 210 216 252 270 280 315 360 378 420 504 540 630 756 840 945 1080 1260 1512 1890 2520 3780 7560 50311 100622 150933 201244 251555 301866 352177 402488 452799 503110 603732 704354 754665 905598 1006220 1056531 1207464 1358397 1408708 1509330 1760885 1811196 2012440 2113062 2263995 2716794 2817416 3018660 3169593 3521770 3622392 4226124 4527990 5282655 5433588 6037320 6339186 6791985 7043540 8452248 9055980 9508779 10565310 10867176 12678372 13583970 14087080 15847965 18111960 19017558 21130620 25356744 27167940 31695930 38035116 42261240 47543895 54335880 63391860 76070232 95087790 126783720 190175580 380351160