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4233494304 = 2532131130741
BaseRepresentation
bin1111110001010101…
…1111111100100000
3101221001001210102100
43330111133330200
532132233304204
61540030250400
7206624051664
oct37425377440
911831053370
104233494304
111882773a26
129a1956a00
13526105320
142c23748a4
1519b9e8a39
hexfc55ff20

4233494304 has 72 divisors (see below), whose sum is σ = 12965087772. Its totient is φ = 1302612480.

The previous prime is 4233494299. The next prime is 4233494341. The reversal of 4233494304 is 4034943324.

It is a happy number.

4233494304 is a `hidden beast` number, since 4 + 2 + 3 + 349 + 4 + 304 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3549776400 + 683717904 = 59580^2 + 26148^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 561627 + ... + 569114.

Almost surely, 24233494304 is an apocalyptic number.

It is an amenable number.

4233494304 is an abundant number, since it is smaller than the sum of its proper divisors (8731593468).

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

4233494304 is a wasteful number, since it uses less digits than its factorization.

4233494304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130770 (or 1130759 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The square root of 4233494304 is about 65065.3079912790. The cubic root of 4233494304 is about 1617.7062370975.

The spelling of 4233494304 in words is "four billion, two hundred thirty-three million, four hundred ninety-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 1130741 2261482 3392223 4522964 6784446 9045928 10176669 13568892 14699633 18091856 20353338 27137784 29399266 36183712 40706676 44098899 54275568 58798532 81413352 88197798 108551136 117597064 132296697 162826704 176395596 235194128 264593394 325653408 352791192 470388256 529186788 705582384 1058373576 1411164768 2116747152 4233494304