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3040066016 = 251319138261
BaseRepresentation
bin1011010100110011…
…1011100111100000
321211212102100120122
42311030323213200
522211224103031
61221355055412
7135223064141
oct26514734740
97755370518
103040066016
111320046659
1270a141568
13395aa2140
1420ba75ac8
1512bd5a47b
hexb533b9e0

3040066016 has 48 divisors (see below), whose sum is σ = 6479440128. Its totient is φ = 1395724800.

The previous prime is 3040066013. The next prime is 3040066019. The reversal of 3040066016 is 6106600403.

It is an interprime number because it is at equal distance from previous prime (3040066013) and next prime (3040066019).

It is a super-2 number, since 2×30400660162 = 18484002763276224512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3040066013) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 60326 + ... + 98586.

It is an arithmetic number, because the mean of its divisors is an integer number (134988336).

Almost surely, 23040066016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3040066016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3239720064).

3040066016 is an abundant number, since it is smaller than the sum of its proper divisors (3439374112).

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

3040066016 is a wasteful number, since it uses less digits than its factorization.

3040066016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38475 (or 38467 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 3040066016 is about 55136.7936681124. The cubic root of 3040066016 is about 1448.6417746698.

Adding to 3040066016 its reverse (6106600403), we get a palindrome (9146666419).

The spelling of 3040066016 in words is "three billion, forty million, sixty-six thousand, sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 104 191 208 382 416 764 1528 2483 3056 4966 6112 9932 19864 38261 39728 76522 79456 153044 306088 497393 612176 994786 1224352 1989572 3979144 7307851 7958288 14615702 15916576 29231404 58462808 95002063 116925616 190004126 233851232 380008252 760016504 1520033008 3040066016