Search a number
-
+
284484004 = 227211811229
BaseRepresentation
bin10000111101001…
…110000110100100
3201211022021200121
4100331032012210
51040311442004
644121251324
710023034300
oct2075160644
9654267617
10284484004
11136647052
127b333b44
1346c2763c
1429ad4d00
1519e96854
hex10f4e1a4

284484004 has 36 divisors (see below), whose sum is σ = 580090140. Its totient is φ = 121719360.

The previous prime is 284483989. The next prime is 284484029. The reversal of 284484004 is 400484482.

It can be written as a sum of positive squares in 2 ways, for example, as 272910400 + 11573604 = 16520^2 + 3402^2 .

It is a super-2 number, since 2×2844840042 = 161862297063744032, which contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 230862 + ... + 232090.

It is an arithmetic number, because the mean of its divisors is an integer number (16113615).

Almost surely, 2284484004 is an apocalyptic number.

It is an amenable number.

284484004 is an abundant number, since it is smaller than the sum of its proper divisors (295606136).

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

284484004 is a wasteful number, since it uses less digits than its factorization.

284484004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2428 (or 2419 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 34.

The square root of 284484004 is about 16866.6536100081. The cubic root of 284484004 is about 657.6870399457.

The spelling of 284484004 in words is "two hundred eighty-four million, four hundred eighty-four thousand, four".

Divisors: 1 2 4 7 14 28 49 98 196 1181 1229 2362 2458 4724 4916 8267 8603 16534 17206 33068 34412 57869 60221 115738 120442 231476 240884 1451449 2902898 5805796 10160143 20320286 40640572 71121001 142242002 284484004