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385071930 = 2325171092309
BaseRepresentation
bin10110111100111…
…011101100111010
3222211120200101100
4112330323230322
51242034300210
6102113232230
712354025455
oct2674735472
9884520340
10385071930
111883aa271
12a8b62676
1361a15919
14391da49c
1523c155c0
hex16f3bb3a

385071930 has 96 divisors (see below), whose sum is σ = 1070269200. Its totient is φ = 95717376.

The previous prime is 385071919. The next prime is 385071931. The reversal of 385071930 is 39170583.

385071930 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 319801689 + 65270241 = 17883^2 + 8079^2 .

It is not an unprimeable number, because it can be changed into a prime (385071931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 165616 + ... + 167924.

Almost surely, 2385071930 is an apocalyptic number.

385071930 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 385071930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535134600).

385071930 is an abundant number, since it is smaller than the sum of its proper divisors (685197270).

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

385071930 is a wasteful number, since it uses less digits than its factorization.

385071930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2448 (or 2445 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 385071930 is about 19623.2497308677. The cubic root of 385071930 is about 727.5239372858.

The spelling of 385071930 in words is "three hundred eighty-five million, seventy-one thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 109 153 170 218 255 306 327 510 545 654 765 981 1090 1530 1635 1853 1962 2309 3270 3706 4618 4905 5559 6927 9265 9810 11118 11545 13854 16677 18530 20781 23090 27795 33354 34635 39253 41562 55590 69270 78506 83385 103905 117759 166770 196265 207810 235518 251681 353277 392530 503362 588795 706554 755043 1177590 1258405 1510086 1766385 2265129 2516810 3532770 3775215 4278577 4530258 7550430 8557154 11325645 12835731 21392885 22651290 25671462 38507193 42785770 64178655 77014386 128357310 192535965 385071930