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3013034304 = 263721718839
BaseRepresentation
bin1011001110010111…
…0100000101000000
321202222120000001010
42303211310011000
522132314044204
61214551440520
7134444240400
oct26345640500
97688500033
103013034304
1113068632a5
12701086140
133902c9247
1420823a800
151297bad89
hexb3974140

3013034304 has 168 divisors, whose sum is σ = 9819558720. Its totient is φ = 810184704.

The previous prime is 3013034291. The next prime is 3013034309. The reversal of 3013034304 is 4034303103.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3013034309) 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 23 ways as a sum of consecutive naturals, for example, 150517 + ... + 169355.

Almost surely, 23013034304 is an apocalyptic number.

3013034304 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 3013034304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4909779360).

3013034304 is an abundant number, since it is smaller than the sum of its proper divisors (6806524416).

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

3013034304 is a wasteful number, since it uses less digits than its factorization.

3013034304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18885 (or 18868 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

The square root of 3013034304 is about 54891.1131605108. The cubic root of 3013034304 is about 1444.3352991420.

Adding to 3013034304 its reverse (4034303103), we get a palindrome (7047337407).

The spelling of 3013034304 in words is "three billion, thirteen million, thirty-four thousand, three hundred four".