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3083943240 = 2333573113159
BaseRepresentation
bin1011011111010001…
…0011110101001000
321221220222112211000
42313310103311020
522303442140430
61230003335000
7136265041110
oct26764236510
97856875730
103083943240
111342895224
12720981460
133a1bc56b1
14213818040
15130b25e60
hexb7d13d48

3083943240 has 256 divisors, whose sum is σ = 12128256000. Its totient is φ = 682110720.

The previous prime is 3083943227. The next prime is 3083943263. The reversal of 3083943240 is 423493803.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3083943195 and 3083943204.

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 63 ways as a sum of consecutive naturals, for example, 227781 + ... + 240939.

It is an arithmetic number, because the mean of its divisors is an integer number (47376000).

Almost surely, 23083943240 is an apocalyptic number.

3083943240 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 3083943240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6064128000).

3083943240 is an abundant number, since it is smaller than the sum of its proper divisors (9044312760).

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

3083943240 is a wasteful number, since it uses less digits than its factorization.

3083943240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13217 (or 13207 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 3083943240 is about 55533.2624649408. The cubic root of 3083943240 is about 1455.5779190041.

The spelling of 3083943240 in words is "three billion, eighty-three million, nine hundred forty-three thousand, two hundred forty".