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3033384960 = 21135195197
BaseRepresentation
bin1011010011001101…
…1100100000000000
321211101211220220010
42310303130200000
522203021304320
61220555544520
7135112226634
oct26463344000
97741756803
103033384960
1113172a3021
12707a5b140
133945a3158
1420ac16dc4
1512b48aae0
hexb4cdc800

3033384960 has 192 divisors, whose sum is σ = 10217188800. Its totient is φ = 766181376.

The previous prime is 3033384947. The next prime is 3033384961. The reversal of 3033384960 is 694833303.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (3033384961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 581082 + ... + 586278.

It is an arithmetic number, because the mean of its divisors is an integer number (53214525).

Almost surely, 23033384960 is an apocalyptic number.

3033384960 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 3033384960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5108594400).

3033384960 is an abundant number, since it is smaller than the sum of its proper divisors (7183803840).

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

3033384960 is a wasteful number, since it uses less digits than its factorization.

3033384960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5246 (or 5226 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 39.

The square root of 3033384960 is about 55076.1741590681. The cubic root of 3033384960 is about 1447.5797850671.

The spelling of 3033384960 in words is "three billion, thirty-three million, three hundred eighty-four thousand, nine hundred sixty".