Search a number
-
+
243035232 = 253111912113
BaseRepresentation
bin11100111110001…
…10110001100000
3121221022110122220
432133012301200
5444204111412
640041031040
76010523346
oct1637066140
9557273586
10243035232
11115206a70
1269485480
133b47453b
14243c5996
151650a68c
hexe7c6c60

243035232 has 96 divisors (see below), whose sum is σ = 732654720. Its totient is φ = 69765120.

The previous prime is 243035209. The next prime is 243035293. The reversal of 243035232 is 232530342.

243035232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2430352322 = 118132247986587648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14008 + ... + 26120.

It is an arithmetic number, because the mean of its divisors is an integer number (7631820).

Almost surely, 2243035232 is an apocalyptic number.

243035232 is a gapful number since it is divisible by the number (22) 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 243035232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366327360).

243035232 is an abundant number, since it is smaller than the sum of its proper divisors (489619488).

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

243035232 is a wasteful number, since it uses less digits than its factorization.

243035232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12156 (or 12148 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 24.

The square root of 243035232 is about 15589.5872940883. The cubic root of 243035232 is about 624.0553041056.

Adding to 243035232 its reverse (232530342), we get a palindrome (475565574).

The spelling of 243035232 in words is "two hundred forty-three million, thirty-five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 66 76 88 96 114 132 152 176 209 228 264 304 352 418 456 528 608 627 836 912 1056 1254 1672 1824 2508 3344 5016 6688 10032 12113 20064 24226 36339 48452 72678 96904 133243 145356 193808 230147 266486 290712 387616 399729 460294 532972 581424 690441 799458 920588 1065944 1162848 1380882 1598916 1841176 2131888 2531617 2761764 3197832 3682352 4263776 5063234 5523528 6395664 7364704 7594851 10126468 11047056 12791328 15189702 20252936 22094112 30379404 40505872 60758808 81011744 121517616 243035232