Search a number
-
+
2304633682404 = 223893712
BaseRepresentation
bin100001100010010110110…
…111110011100111100100
322011022122212212100000000
4201202112313303213210
5300224342210314104
64522422322021300
7325334654036514
oct41422667634744
98138585770000
102304633682404
118094316a5279
123127a11a7830
13139431374391
147d78b179844
153ee37384639
hex21896df39e4

2304633682404 has 81 divisors (see below), whose sum is σ = 6050001670531. Its totient is φ = 768129249960.

The previous prime is 2304633682357. The next prime is 2304633682567. The reversal of 2304633682404 is 4042863364032.

It is a happy number.

The square root of 2304633682404 is 1518102.

It is a perfect power (a square), and thus also a powerful number.

2304633682404 is a `hidden beast` number, since 2 + 3 + 0 + 4 + 633 + 6 + 8 + 2 + 4 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (81).

It is a super-2 number, since 2×23046336824042 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2304633682404.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 245927839 + ... + 245937209.

Almost surely, 22304633682404 is an apocalyptic number.

2304633682404 is the 1518102-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2304633682404

2304633682404 is an abundant number, since it is smaller than the sum of its proper divisors (3745367988127).

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

2304633682404 is an frugal number, since it uses more digits than its factorization.

2304633682404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18770 (or 9376 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 45.

The spelling of 2304633682404 in words is "two trillion, three hundred four billion, six hundred thirty-three million, six hundred eighty-two thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2187 2916 4374 6561 8748 9371 13122 18742 26244 28113 37484 56226 84339 112452 168678 253017 337356 506034 759051 1012068 1518102 2277153 3036204 4554306 6831459 9108612 13662918 20494377 27325836 40988754 61483131 81977508 87815641 122966262 175631282 245932524 263446923 351262564 526893846 790340769 1053787692 1580681538 2371022307 3161363076 4742044614 7113066921 9484089228 14226133842 21339200763 28452267684 42678401526 64017602289 85356803052 128035204578 192052806867 256070409156 384105613734 576158420601 768211227468 1152316841202 2304633682404