Search a number
-
+
3284863008 = 253734714087
BaseRepresentation
bin1100001111001011…
…0000100000100000
322110221001022220220
43003302300200200
523211411104013
61301542003040
7144254606040
oct30362604040
98427038826
103284863008
111436246219
12778116480
1340471252b
14232399720
151435b2b23
hexc3cb0820

3284863008 has 96 divisors (see below), whose sum is σ = 9883689984. Its totient is φ = 935761152.

The previous prime is 3284863007. The next prime is 3284863019. The reversal of 3284863008 is 8003684823.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (3284863007) 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 15 ways as a sum of consecutive naturals, for example, 226141 + ... + 240227.

It is an arithmetic number, because the mean of its divisors is an integer number (102955104).

Almost surely, 23284863008 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 3284863008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4941844992).

3284863008 is an abundant number, since it is smaller than the sum of its proper divisors (6598826976).

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

3284863008 is a wasteful number, since it uses less digits than its factorization.

3284863008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14454 (or 14446 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 3284863008 is about 57313.7244296687. The cubic root of 3284863008 is about 1486.5256960672.

The spelling of 3284863008 in words is "three billion, two hundred eighty-four million, eight hundred sixty-three thousand, eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 347 672 694 1041 1388 2082 2429 2776 4164 4858 5552 7287 8328 9716 11104 14087 14574 16656 19432 28174 29148 33312 38864 42261 56348 58296 77728 84522 98609 112696 116592 169044 197218 225392 233184 295827 338088 394436 450784 591654 676176 788872 1183308 1352352 1577744 2366616 3155488 4733232 4888189 9466464 9776378 14664567 19552756 29329134 34217323 39105512 58658268 68434646 78211024 102651969 117316536 136869292 156422048 205303938 234633072 273738584 410607876 469266144 547477168 821215752 1094954336 1642431504 3284863008