Search a number
-
+
3041820672 = 2153112997
BaseRepresentation
bin1011010101001110…
…1000000000000000
321211222201111111220
42311103220000000
522212201230142
61221500435040
7135244022562
oct26523500000
97758644456
103041820672
111321034990
1270a848a80
133962679b7
1420bdb1332
1512c0a52ec
hexb54e8000

3041820672 has 256 divisors, whose sum is σ = 9248299200. Its totient is φ = 880803840.

The previous prime is 3041820647. The next prime is 3041820757. The reversal of 3041820672 is 2760281403.

It is a tau number, because it is divible by the number of its divisors (256).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31358928 + ... + 31359024.

Almost surely, 23041820672 is an apocalyptic number.

3041820672 is a gapful number since it is divisible by the number (32) 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 3041820672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4624149600).

3041820672 is an abundant number, since it is smaller than the sum of its proper divisors (6206478528).

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

3041820672 is an equidigital number, since it uses as much as digits as its factorization.

3041820672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 3041820672 is about 55152.7032157083. The cubic root of 3041820672 is about 1448.9204286079.

The spelling of 3041820672 in words is "three billion, forty-one million, eight hundred twenty thousand, six hundred seventy-two".