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3063332640 = 253529359613
BaseRepresentation
bin1011011010010110…
…1011111100100000
321220111012102101110
42312211223330200
522233203121030
61223545503320
7135624616644
oct26645537440
97814172343
103063332640
111332198175
12715aa1b40
1339a85a384
14210bb0c24
1512de041b0
hexb696bf20

3063332640 has 192 divisors, whose sum is σ = 10026374400. Its totient is φ = 785240064.

The previous prime is 3063332633. The next prime is 3063332683. The reversal of 3063332640 is 462333603.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3063332598 and 3063332607.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4996974 + ... + 4997586.

It is an arithmetic number, because the mean of its divisors is an integer number (52220700).

Almost surely, 23063332640 is an apocalyptic number.

3063332640 is a gapful number since it is divisible by the number (30) 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 3063332640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5013187200).

3063332640 is an abundant number, since it is smaller than the sum of its proper divisors (6963041760).

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

3063332640 is a wasteful number, since it uses less digits than its factorization.

3063332640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 30.

The square root of 3063332640 is about 55347.3815098781. The cubic root of 3063332640 is about 1452.3280303729.

The spelling of 3063332640 in words is "three billion, sixty-three million, three hundred thirty-two thousand, six hundred forty".