Search a number
-
+
2002330404 = 2232296772833
BaseRepresentation
bin111011101011001…
…0010001100100100
312011112201220221100
41313112102030210
513100044033104
6530404520100
7100422345654
oct16726221444
95145656840
102002330404
11938299518
1247a6b0030
1325bab1cb9
1414dd04364
15babc3139
hex77592324

2002330404 has 72 divisors (see below), whose sum is σ = 5245563960. Its totient is φ = 643249152.

The previous prime is 2002330381. The next prime is 2002330441. The reversal of 2002330404 is 4040332002.

It can be written as a sum of positive squares in 4 ways, for example, as 840884004 + 1161446400 = 28998^2 + 34080^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 705372 + ... + 708204.

It is an arithmetic number, because the mean of its divisors is an integer number (72855055).

Almost surely, 22002330404 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 2002330404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2622781980).

2002330404 is an abundant number, since it is smaller than the sum of its proper divisors (3243233556).

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

2002330404 is a wasteful number, since it uses less digits than its factorization.

2002330404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3549 (or 3544 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 2002330404 is about 44747.4066734599. The cubic root of 2002330404 is about 1260.4102141281.

Adding to 2002330404 its reverse (4040332002), we get a palindrome (6042662406).

The spelling of 2002330404 in words is "two billion, two million, three hundred thirty thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 677 1044 1354 2031 2708 2833 4062 5666 6093 8124 8499 11332 12186 16998 19633 24372 25497 33996 39266 50994 58899 78532 82157 101988 117798 164314 176697 235596 246471 328628 353394 492942 706788 739413 985884 1478826 1917941 2957652 3835882 5753823 7671764 11507646 17261469 23015292 34522938 55620289 69045876 111240578 166860867 222481156 333721734 500582601 667443468 1001165202 2002330404