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3002112320 = 2659381601
BaseRepresentation
bin1011001011110000…
…1001100101000000
321202020000002220012
42302330021211000
522122020043240
61213521404052
7134252351024
oct26274114500
97666002805
103002112320
111300683469
126b9499628
1338ac73b2c
142069d6384
1512885eb65
hexb2f09940

3002112320 has 28 divisors (see below), whose sum is σ = 7148780724. Its totient is φ = 1200844800.

The previous prime is 3002112313. The next prime is 3002112359. The reversal of 3002112320 is 232112003.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1596162304 + 1405950016 = 39952^2 + 37496^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3002112295 and 3002112304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4690481 + ... + 4691120.

Almost surely, 23002112320 is an apocalyptic number.

It is an amenable number.

3002112320 is an abundant number, since it is smaller than the sum of its proper divisors (4146668404).

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

3002112320 is an equidigital number, since it uses as much as digits as its factorization.

3002112320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9381618 (or 9381608 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 3002112320 is about 54791.5351126431. The cubic root of 3002112320 is about 1442.5879900711.

Adding to 3002112320 its reverse (232112003), we get a palindrome (3234224323).

The spelling of 3002112320 in words is "three billion, two million, one hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 9381601 18763202 37526404 46908005 75052808 93816010 150105616 187632020 300211232 375264040 600422464 750528080 1501056160 3002112320