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6304244940 = 22325723123057
BaseRepresentation
bin1011101111100001…
…10010010011001100
3121021100112211021100
411313300302103030
5100402341314230
62521321503100
7312140124600
oct56760622314
917240484240
106304244940
112745644594
12127b341a90
13796121a66
1443b3a9500
1526d6d4660
hex177c324cc

6304244940 has 216 divisors, whose sum is σ = 22963554432. Its totient is φ = 1394426880.

The previous prime is 6304244927. The next prime is 6304244941. The reversal of 6304244940 is 494424036.

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

It is a junction number, because it is equal to n+sod(n) for n = 6304244895 and 6304244904.

It is not an unprimeable number, because it can be changed into a prime (6304244941) 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 71 ways as a sum of consecutive naturals, for example, 261892 + ... + 284948.

It is an arithmetic number, because the mean of its divisors is an integer number (106312752).

Almost surely, 26304244940 is an apocalyptic number.

6304244940 is a gapful number since it is divisible by the number (60) 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 6304244940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11481777216).

6304244940 is an abundant number, since it is smaller than the sum of its proper divisors (16659309492).

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

6304244940 is a wasteful number, since it uses less digits than its factorization.

6304244940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23117 (or 23105 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 6304244940 is about 79399.2754375001. The cubic root of 6304244940 is about 1847.3294743677.

Adding to 6304244940 its reverse (494424036), we get a palindrome (6798668976).

The spelling of 6304244940 in words is "six billion, three hundred four million, two hundred forty-four thousand, nine hundred forty".