Search a number
-
+
243809280 = 210325111337
BaseRepresentation
bin11101000100000…
…11110000000000
3121222202210110100
432202003300000
5444403344110
640105402400
76020226141
oct1642036000
9558683410
10243809280
11115695580
1269799400
133b685960
1424547ac8
151660ebc0
hexe883c00

243809280 has 528 divisors, whose sum is σ = 1019307744. Its totient is φ = 53084160.

The previous prime is 243809239. The next prime is 243809287. The reversal of 243809280 is 82908342.

It is a tau number, because it is divible by the number of its divisors (528).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243809287) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6589422 + ... + 6589458.

Almost surely, 2243809280 is an apocalyptic number.

243809280 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 243809280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509653872).

243809280 is an abundant number, since it is smaller than the sum of its proper divisors (775498464).

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

243809280 is a wasteful number, since it uses less digits than its factorization.

243809280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 243809280 is about 15614.3933599740. The cubic root of 243809280 is about 624.7171242561.

The spelling of 243809280 in words is "two hundred forty-three million, eight hundred nine thousand, two hundred eighty".