Search a number
-
+
243337820 = 225111915791
BaseRepresentation
bin11101000000100…
…00101001011100
3121221212211201212
432200100221130
5444243302240
640051323552
76013223465
oct1640205134
9557784655
10243337820
111153a3340
12695b05b8
133b54c19b
1424463d6c
151656a165
hexe810a5c

243337820 has 48 divisors (see below), whose sum is σ = 560480256. Its totient is φ = 88008000.

The previous prime is 243337793. The next prime is 243337841. The reversal of 243337820 is 28733342.

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 15 ways as a sum of consecutive naturals, for example, 39125 + ... + 44915.

It is an arithmetic number, because the mean of its divisors is an integer number (11676672).

Almost surely, 2243337820 is an apocalyptic number.

243337820 is a gapful number since it is divisible by the number (20) 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 243337820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280240128).

243337820 is an abundant number, since it is smaller than the sum of its proper divisors (317142436).

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

243337820 is a wasteful number, since it uses less digits than its factorization.

243337820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6002 (or 6000 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 32.

The square root of 243337820 is about 15599.2890863654. The cubic root of 243337820 is about 624.3141874665.

The spelling of 243337820 in words is "two hundred forty-three million, three hundred thirty-seven thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 191 220 382 764 955 1910 2101 3820 4202 5791 8404 10505 11582 21010 23164 28955 42020 57910 63701 115820 127402 254804 318505 637010 1106081 1274020 2212162 4424324 5530405 11060810 12166891 22121620 24333782 48667564 60834455 121668910 243337820