Search a number
-
+
200348676 = 2232112321997
BaseRepresentation
bin10111111000100…
…01010000000100
3111221222202201100
423330101100010
5402242124201
631514100100
74651635633
oct1374212004
9457882640
10200348676
11a3100a20
125711a630
1332679c18
141c87351a
15128c7886
hexbf11404

200348676 has 72 divisors (see below), whose sum is σ = 576523584. Its totient is φ = 58069440.

The previous prime is 200348671. The next prime is 200348683. The reversal of 200348676 is 676843002.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 200348676.

It is not an unprimeable number, because it can be changed into a prime (200348671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1891 + ... + 20106.

It is an arithmetic number, because the mean of its divisors is an integer number (8007272).

Almost surely, 2200348676 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200348676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288261792).

200348676 is an abundant number, since it is smaller than the sum of its proper divisors (376174908).

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

200348676 is a wasteful number, since it uses less digits than its factorization.

200348676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22041 (or 22036 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 200348676 is about 14154.4578137066. The cubic root of 200348676 is about 585.1431952770.

The spelling of 200348676 in words is "two hundred million, three hundred forty-eight thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 33 36 44 46 66 69 92 99 132 138 198 207 253 276 396 414 506 759 828 1012 1518 2277 3036 4554 9108 21997 43994 65991 87988 131982 197973 241967 263964 395946 483934 505931 725901 791892 967868 1011862 1451802 1517793 2023724 2177703 2903604 3035586 4355406 4553379 5565241 6071172 8710812 9106758 11130482 16695723 18213516 22260964 33391446 50087169 66782892 100174338 200348676