Search a number
-
+
284030012 = 22719599049
BaseRepresentation
bin10000111011011…
…111010000111100
3201210110012221002
4100323133100330
51040202430022
644103425432
710016133560
oct2073372074
9653405832
10284030012
11136366a52
127b155278
1346ac8ac6
1429a176a0
1519e07092
hex10edf43c

284030012 has 48 divisors (see below), whose sum is σ = 608160000. Its totient is φ = 113353344.

The previous prime is 284030011. The next prime is 284030041. The reversal of 284030012 is 210030482.

284030012 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 (284030011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26864 + ... + 35912.

It is an arithmetic number, because the mean of its divisors is an integer number (12670000).

Almost surely, 2284030012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 284030012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304080000).

284030012 is an abundant number, since it is smaller than the sum of its proper divisors (324129988).

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

284030012 is a wasteful number, since it uses less digits than its factorization.

284030012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9138 (or 9136 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 284030012 is about 16853.1899651075. The cubic root of 284030012 is about 657.3369984403.

Adding to 284030012 its reverse (210030482), we get a palindrome (494060494).

The spelling of 284030012 in words is "two hundred eighty-four million, thirty thousand, twelve".

Divisors: 1 2 4 7 14 19 28 38 59 76 118 133 236 266 413 532 826 1121 1652 2242 4484 7847 9049 15694 18098 31388 36196 63343 126686 171931 253372 343862 533891 687724 1067782 1203517 2135564 2407034 3737237 4814068 7474474 10143929 14948948 20287858 40575716 71007503 142015006 284030012