Search a number
-
+
284348484 = 223274192693
BaseRepresentation
bin10000111100101…
…101000001000100
3201211001101210100
4100330231001010
51040243122414
644114324100
710021631220
oct2074550104
9654041710
10284348484
11136564252
127b289630
1346baaa54
1429a9b780
1519e6b609
hex10f2d044

284348484 has 72 divisors (see below), whose sum is σ = 823717440. Its totient is φ = 81018432.

The previous prime is 284348483. The next prime is 284348501. The reversal of 284348484 is 484843482.

It is not an unprimeable number, because it can be changed into a prime (284348483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104242 + ... + 106934.

It is an arithmetic number, because the mean of its divisors is an integer number (11440520).

Almost surely, 2284348484 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 284348484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411858720).

284348484 is an abundant number, since it is smaller than the sum of its proper divisors (539368956).

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

284348484 is a wasteful number, since it uses less digits than its factorization.

284348484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3129 (or 3124 counting only the distinct ones).

The product of its digits is 786432, while the sum is 45.

The square root of 284348484 is about 16862.6357370371. The cubic root of 284348484 is about 657.5825889595.

The spelling of 284348484 in words is "two hundred eighty-four million, three hundred forty-eight thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 419 838 1257 1676 2514 2693 2933 3771 5028 5386 5866 7542 8079 8799 10772 11732 15084 16158 17598 18851 24237 26397 32316 35196 37702 48474 52794 56553 75404 96948 105588 113106 169659 226212 339318 678636 1128367 2256734 3385101 4513468 6770202 7898569 10155303 13540404 15797138 20310606 23695707 31594276 40621212 47391414 71087121 94782828 142174242 284348484