Search a number
-
+
3344075920 = 24541800949
BaseRepresentation
bin1100011101010010…
…1000110010010000
322122001110122202201
43013110220302100
523322040412140
61311455052544
7145604114323
oct30724506220
98561418681
103344075920
111466709809
12793b11154
13413a75163
1423a1b07ba
151488ac49a
hexc7528c90

3344075920 has 20 divisors (see below), whose sum is σ = 7774976700. Its totient is φ = 1337630336.

The previous prime is 3344075909. The next prime is 3344075929. The reversal of 3344075920 is 295704433.

It can be written as a sum of positive squares in 2 ways, for example, as 1064586384 + 2279489536 = 32628^2 + 47744^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×33440759202 = 22365687517447692800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3344075920.

It is not an unprimeable number, because it can be changed into a prime (3344075929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20900395 + ... + 20900554.

It is an arithmetic number, because the mean of its divisors is an integer number (388748835).

Almost surely, 23344075920 is an apocalyptic number.

It is an amenable number.

3344075920 is an abundant number, since it is smaller than the sum of its proper divisors (4430900780).

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

3344075920 is a wasteful number, since it uses less digits than its factorization.

3344075920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41800962 (or 41800956 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 37.

The square root of 3344075920 is about 57827.9856125043. The cubic root of 3344075920 is about 1495.4045906672.

The spelling of 3344075920 in words is "three billion, three hundred forty-four million, seventy-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 41800949 83601898 167203796 209004745 334407592 418009490 668815184 836018980 1672037960 3344075920