Search a number
-
+
243741960 = 23345711977
BaseRepresentation
bin11101000011100…
…11010100001000
3121222122101010000
432201303110020
5444344220320
640104123000
76016525650
oct1641632410
9558571100
10243741960
11115649a40
1269766460
133b661117
142452b360
15165e9c90
hexe873508

243741960 has 320 divisors, whose sum is σ = 1022440320. Its totient is φ = 50595840.

The previous prime is 243741959. The next prime is 243741989. The reversal of 243741960 is 69147342.

243741960 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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 248992 + ... + 249968.

It is an arithmetic number, because the mean of its divisors is an integer number (3195126).

Almost surely, 2243741960 is an apocalyptic number.

243741960 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 243741960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511220160).

243741960 is an abundant number, since it is smaller than the sum of its proper divisors (778698360).

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

243741960 is a wasteful number, since it uses less digits than its factorization.

243741960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1018 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 243741960 is about 15612.2375078014. The cubic root of 243741960 is about 624.6596205272.

The spelling of 243741960 in words is "two hundred forty-three million, seven hundred forty-one thousand, nine hundred sixty".