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3084247296 = 2832132892
BaseRepresentation
bin1011011111010101…
…1110000100000000
321221221112222220100
42313311132010000
522304031403141
61230014042400
7136300445424
oct26765360400
97857488810
103084247296
111342a82709
12720aa9400
133a1ca0c00
14213896b84
15130b860b6
hexb7d5e100

3084247296 has 243 divisors, whose sum is σ = 9738724359. Its totient is φ = 938336256.

The previous prime is 3084247279. The next prime is 3084247297. The reversal of 3084247296 is 6927424803.

The square root of 3084247296 is 55536.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1348358400 + 1735888896 = 36720^2 + 41664^2 .

It is not an unprimeable number, because it can be changed into a prime (3084247297) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 34654420 + ... + 34654508.

Almost surely, 23084247296 is an apocalyptic number.

3084247296 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3084247296 is the 55536-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3084247296

3084247296 is an abundant number, since it is smaller than the sum of its proper divisors (6654477063).

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

3084247296 is an equidigital number, since it uses as much as digits as its factorization.

3084247296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The cubic root of 3084247296 is about 1455.6257541534.

The spelling of 3084247296 in words is "three billion, eighty-four million, two hundred forty-seven thousand, two hundred ninety-six".