Search a number
-
+
3041095680 = 21232572357
BaseRepresentation
bin1011010101000011…
…0111000000000000
321211221100200000100
42311100313000000
522212010030210
61221433122400
7135234613110
oct26520670000
97757320010
103041095680
11132068a217
1270a559400
133960729cc
1420bc63040
1512beb05c0
hexb5437000

3041095680 has 312 divisors, whose sum is σ = 12052171872. Its totient is φ = 694812672.

The previous prime is 3041095679. The next prime is 3041095693. The reversal of 3041095680 is 865901403.

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1289062 + ... + 1291418.

It is an arithmetic number, because the mean of its divisors is an integer number (38628756).

Almost surely, 23041095680 is an apocalyptic number.

3041095680 is a gapful number since it is divisible by the number (30) 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 3041095680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6026085936).

3041095680 is an abundant number, since it is smaller than the sum of its proper divisors (9011076192).

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

3041095680 is a wasteful number, since it uses less digits than its factorization.

3041095680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2399 (or 2374 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 3041095680 is about 55146.1302359467. The cubic root of 3041095680 is about 1448.8053068547.

The spelling of 3041095680 in words is "three billion, forty-one million, ninety-five thousand, six hundred eighty".