Search a number
-
+
284241042 = 23314935327
BaseRepresentation
bin10000111100010…
…010110010010010
3201210211221102000
4100330102302102
51040231203132
644112134430
710021003041
oct2074226222
9653757360
10284241042
111364a0558
127b237416
1346b70b87
1429a70558
1519e4987c
hex10f12c92

284241042 has 32 divisors (see below), whose sum is σ = 635904000. Its totient is φ = 94108464.

The previous prime is 284241031. The next prime is 284241059. The reversal of 284241042 is 240142482.

284241042 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 (27).

It is a junction number, because it is equal to n+sod(n) for n = 284240997 and 284241015.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9618 + ... + 25709.

It is an arithmetic number, because the mean of its divisors is an integer number (19872000).

Almost surely, 2284241042 is an apocalyptic number.

284241042 is an abundant number, since it is smaller than the sum of its proper divisors (351662958).

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

284241042 is a wasteful number, since it uses less digits than its factorization.

284241042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35487 (or 35481 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 284241042 is about 16859.4496351453. The cubic root of 284241042 is about 657.4997552853.

The spelling of 284241042 in words is "two hundred eighty-four million, two hundred forty-one thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 54 149 298 447 894 1341 2682 4023 8046 35327 70654 105981 211962 317943 635886 953829 1907658 5263723 10527446 15791169 31582338 47373507 94747014 142120521 284241042