Search a number
-
+
2923284006 = 234531013371
BaseRepresentation
bin1010111000111101…
…1100011000100110
321112201200012210000
42232033130120212
521441330042011
61202024042130
7132304334616
oct25617343046
97481605700
102923284006
1112701325a5
12697003346
13377833b66
141da356a46
1512198d356
hexae3dc626

2923284006 has 80 divisors (see below), whose sum is σ = 6741990288. Its totient is φ = 946296000.

The previous prime is 2923283999. The next prime is 2923284019. The reversal of 2923284006 is 6004823292.

2923284006 is a `hidden beast` number, since 292 + 328 + 40 + 0 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 865501 + ... + 868871.

Almost surely, 22923284006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2923284006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3370995144).

2923284006 is an abundant number, since it is smaller than the sum of its proper divisors (3818706282).

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

2923284006 is a wasteful number, since it uses less digits than its factorization.

2923284006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3539 (or 3530 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2923284006 is about 54067.4024343689. The cubic root of 2923284006 is about 1429.8495295405.

The spelling of 2923284006 in words is "two billion, nine hundred twenty-three million, two hundred eighty-four thousand, six".

Divisors: 1 2 3 6 9 18 27 53 54 81 101 106 159 162 202 303 318 477 606 909 954 1431 1818 2727 2862 3371 4293 5353 5454 6742 8181 8586 10113 10706 16059 16362 20226 30339 32118 48177 60678 91017 96354 144531 178663 182034 273051 289062 340471 357326 433593 535989 546102 680942 867186 1021413 1071978 1607967 2042826 3064239 3215934 4823901 6128478 9192717 9647802 14471703 18044963 18385434 27578151 28943406 36089926 54134889 55156302 108269778 162404667 324809334 487214001 974428002 1461642003 2923284006