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2930328576 = 2103473103
BaseRepresentation
bin1010111010101001…
…0100010000000000
321120012221010010000
42232222110100000
522000131003301
61202435040000
7132421245000
oct25652242000
97505833100
102930328576
11127410425a
12699440000
1337912c446
141db26c000
151223d0786
hexaea94400

2930328576 has 440 divisors, whose sum is σ = 10303779200. Its totient is φ = 829108224.

The previous prime is 2930328497. The next prime is 2930328617. The reversal of 2930328576 is 6758230392.

2930328576 is a `hidden beast` number, since 29 + 30 + 3 + 28 + 576 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 28449741 + ... + 28449843.

It is an arithmetic number, because the mean of its divisors is an integer number (23417680).

Almost surely, 22930328576 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 2930328576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5151889600).

2930328576 is an abundant number, since it is smaller than the sum of its proper divisors (7373450624).

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

2930328576 is an equidigital number, since it uses as much as digits as its factorization.

2930328576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 2930328576 is about 54132.5094190173. The cubic root of 2930328576 is about 1430.9971651909.

The spelling of 2930328576 in words is "two billion, nine hundred thirty million, three hundred twenty-eight thousand, five hundred seventy-six".