Search a number
-
+
3044896384 = 27173145139
BaseRepresentation
bin1011010101111101…
…0110111010000000
321212012111202121011
42311133112322000
522213443141014
61222050410304
7135312122635
oct26537267200
97765452534
103044896384
1113228457a2
1270b890994
13396aa394a
1420c57218c
1512c4b17c4
hexb57d6e80

3044896384 has 64 divisors (see below), whose sum is σ = 6630163200. Its totient is φ = 1386639360.

The previous prime is 3044896381. The next prime is 3044896399. The reversal of 3044896384 is 4836984403.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (3044896381) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 44887 + ... + 90025.

It is an arithmetic number, because the mean of its divisors is an integer number (103596300).

Almost surely, 23044896384 is an apocalyptic number.

3044896384 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3044896384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3315081600).

3044896384 is an abundant number, since it is smaller than the sum of its proper divisors (3585266816).

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

3044896384 is a wasteful number, since it uses less digits than its factorization.

3044896384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45201 (or 45189 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 49.

The square root of 3044896384 is about 55180.5797722351. The cubic root of 3044896384 is about 1449.4086187671.

The spelling of 3044896384 in words is "three billion, forty-four million, eight hundred ninety-six thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 17 31 32 34 62 64 68 124 128 136 248 272 496 527 544 992 1054 1088 1984 2108 2176 3968 4216 8432 16864 33728 45139 67456 90278 180556 361112 722224 767363 1399309 1444448 1534726 2798618 2888896 3069452 5597236 5777792 6138904 11194472 12277808 22388944 23788253 24555616 44777888 47576506 49111232 89555776 95153012 98222464 179111552 190306024 380612048 761224096 1522448192 3044896384