Search a number
-
+
284229240 = 23352368577
BaseRepresentation
bin10000111100001…
…111111001111000
3201210211100012220
4100330033321320
51040230313430
644112004040
710020623451
oct2074177170
9653740186
10284229240
111364926a9
127b230620
1346b686a9
1429a6a128
1519e46110
hex10f0fe78

284229240 has 32 divisors (see below), whose sum is σ = 852688080. Its totient is φ = 75794432.

The previous prime is 284229229. The next prime is 284229241. The reversal of 284229240 is 42922482.

It is a happy number.

284229240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284229241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1184169 + ... + 1184408.

Almost surely, 2284229240 is an apocalyptic number.

284229240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

284229240 is an abundant number, since it is smaller than the sum of its proper divisors (568458840).

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

284229240 is a wasteful number, since it uses less digits than its factorization.

284229240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2368591 (or 2368587 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 284229240 is about 16859.0996200865. The cubic root of 284229240 is about 657.4906551222.

The spelling of 284229240 in words is "two hundred eighty-four million, two hundred twenty-nine thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 2368577 4737154 7105731 9474308 11842885 14211462 18948616 23685770 28422924 35528655 47371540 56845848 71057310 94743080 142114620 284229240