Search a number
-
+
243523290 = 23531401653
BaseRepresentation
bin11101000001111…
…01111011011010
3121222020021011010
432200331323122
5444320221130
640055314350
76014625303
oct1640757332
9558207133
10243523290
1111550a71a
126967b9b6
133b5b572a
14244b17aa
15165a50b0
hexe83deda

243523290 has 64 divisors (see below), whose sum is σ = 605740032. Its totient is φ = 62592000.

The previous prime is 243523271. The next prime is 243523297. The reversal of 243523290 is 92325342.

243523290 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (243523297) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 372604 + ... + 373256.

It is an arithmetic number, because the mean of its divisors is an integer number (9464688).

Almost surely, 2243523290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243523290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302870016).

243523290 is an abundant number, since it is smaller than the sum of its proper divisors (362216742).

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

243523290 is a wasteful number, since it uses less digits than its factorization.

243523290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095.

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 243523290 is about 15605.2327762196. The cubic root of 243523290 is about 624.4727628253.

The spelling of 243523290 in words is "two hundred forty-three million, five hundred twenty-three thousand, two hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 186 310 401 465 653 802 930 1203 1306 1959 2005 2406 3265 3918 4010 6015 6530 9795 12030 12431 19590 20243 24862 37293 40486 60729 62155 74586 101215 121458 124310 186465 202430 261853 303645 372930 523706 607290 785559 1309265 1571118 2618530 3927795 7855590 8117443 16234886 24352329 40587215 48704658 81174430 121761645 243523290