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3041023104 = 273272173169
BaseRepresentation
bin1011010101000010…
…0101010010000000
321211221012222110100
42311100211102000
522212000214404
61221431402400
7135234161400
oct26520452200
97757188410
103041023104
11132063a739
1270a523400
13396048972
1420bc44800
1512be98d39
hexb5425480

3041023104 has 288 divisors, whose sum is σ = 10781772300. Its totient is φ = 817496064.

The previous prime is 3041023103. The next prime is 3041023157. The reversal of 3041023104 is 4013201403.

It can be written as a sum of positive squares in 2 ways, for example, as 2729853504 + 311169600 = 52248^2 + 17640^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3041023103) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 958032 + ... + 961200.

Almost surely, 23041023104 is an apocalyptic number.

3041023104 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 3041023104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5390886150).

3041023104 is an abundant number, since it is smaller than the sum of its proper divisors (7740749196).

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

3041023104 is a wasteful number, since it uses less digits than its factorization.

3041023104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3220 (or 3198 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3041023104 is about 55145.4721985405. The cubic root of 3041023104 is about 1448.7937814769.

Adding to 3041023104 its reverse (4013201403), we get a palindrome (7054224507).

The spelling of 3041023104 in words is "three billion, forty-one million, twenty-three thousand, one hundred four".