Search a number
-
+
381661016 = 231117255121
BaseRepresentation
bin10110101111111…
…010111101011000
3222121011101111012
4112233322331120
51240201123031
6101512153052
712313031222
oct2657727530
9877141435
10381661016
1118648a630
12a7998788
13610c0229
143898d412
152378eb2b
hex16bfaf58

381661016 has 32 divisors (see below), whose sum is σ = 826595280. Its totient is φ = 163276800.

The previous prime is 381661013. The next prime is 381661043. The reversal of 381661016 is 610166183.

It is a super-3 number, since 3×3816610163 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381661013) 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 7 ways as a sum of consecutive naturals, for example, 126065 + ... + 129056.

Almost surely, 2381661016 is an apocalyptic number.

It is an amenable number.

381661016 is an abundant number, since it is smaller than the sum of its proper divisors (444934264).

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

381661016 is a wasteful number, since it uses less digits than its factorization.

381661016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255155 (or 255151 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 381661016 is about 19536.1463958479. The cubic root of 381661016 is about 725.3694611549.

The spelling of 381661016 in words is "three hundred eighty-one million, six hundred sixty-one thousand, sixteen".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 136 187 374 748 1496 255121 510242 1020484 2040968 2806331 4337057 5612662 8674114 11225324 17348228 22450648 34696456 47707627 95415254 190830508 381661016