Search a number
-
+
3141330320 = 24539266629
BaseRepresentation
bin1011101100111100…
…1110010110010000
322002220222010002102
42323033032112100
522413140032240
61235413335532
7140562603302
oct27317162620
98086863072
103141330320
111372220a67
127380375a8
133b0a6924b
1421b2b5972
15135bae815
hexbb3ce590

3141330320 has 20 divisors (see below), whose sum is σ = 7303593180. Its totient is φ = 1256532096.

The previous prime is 3141330301. The next prime is 3141330331. The reversal of 3141330320 is 230331413.

It can be written as a sum of positive squares in 2 ways, for example, as 813846784 + 2327483536 = 28528^2 + 48244^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3141330292 and 3141330301.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 19633235 + ... + 19633394.

It is an arithmetic number, because the mean of its divisors is an integer number (365179659).

Almost surely, 23141330320 is an apocalyptic number.

It is an amenable number.

3141330320 is an abundant number, since it is smaller than the sum of its proper divisors (4162262860).

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

3141330320 is a wasteful number, since it uses less digits than its factorization.

3141330320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39266642 (or 39266636 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

The square root of 3141330320 is about 56047.5719367039. The cubic root of 3141330320 is about 1464.5511203048.

Adding to 3141330320 its reverse (230331413), we get a palindrome (3371661733).

The spelling of 3141330320 in words is "three billion, one hundred forty-one million, three hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 39266629 78533258 157066516 196333145 314133032 392666290 628266064 785332580 1570665160 3141330320