Search a number
-
+
243502344 = 23321131732
BaseRepresentation
bin11101000001110…
…00110100001000
3121222012012102100
432200320310020
5444314033334
640055033400
76014510241
oct1640706410
9558165370
10243502344
111154a5a08
126966b860
133b5a9037
14244a7cc8
151659dc99
hexe838d08

243502344 has 72 divisors (see below), whose sum is σ = 669189690. Its totient is φ = 79984128.

The previous prime is 243502333. The next prime is 243502387. The reversal of 243502344 is 443205342.

It can be written as a sum of positive squares in 3 ways, for example, as 229886244 + 13616100 = 15162^2 + 3690^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 1407442 + ... + 1407614.

Almost surely, 2243502344 is an apocalyptic number.

243502344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243502344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334594845).

243502344 is an abundant number, since it is smaller than the sum of its proper divisors (425687346).

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

243502344 is a wasteful number, since it uses less digits than its factorization.

243502344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 243502344 is about 15604.5616407511. The cubic root of 243502344 is about 624.4548581976.

Adding to 243502344 its reverse (443205342), we get a palindrome (686707686).

The spelling of 243502344 in words is "two hundred forty-three million, five hundred two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 113 173 226 339 346 452 519 678 692 904 1017 1038 1356 1384 1557 2034 2076 2712 3114 4068 4152 6228 8136 12456 19549 29929 39098 58647 59858 78196 89787 117294 119716 156392 175941 179574 234588 239432 269361 351882 359148 469176 538722 703764 718296 1077444 1407528 2154888 3381977 6763954 10145931 13527908 20291862 27055816 30437793 40583724 60875586 81167448 121751172 243502344