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3089291040 = 25325111011931
BaseRepresentation
bin1011100000100010…
…1101011100100000
321222022001020121200
42320020231130200
522311324303130
61230314121200
7136361353263
oct27010553440
97868036550
103089291040
1113459080a0
12722720200
133a3048884
1421440acda
15131330760
hexb822d720

3089291040 has 288 divisors, whose sum is σ = 11620469952. Its totient is φ = 741120000.

The previous prime is 3089291003. The next prime is 3089291057. The reversal of 3089291040 is 401929803.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 3089290986 and 3089291004.

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 47 ways as a sum of consecutive naturals, for example, 1598875 + ... + 1600805.

It is an arithmetic number, because the mean of its divisors is an integer number (40348854).

Almost surely, 23089291040 is an apocalyptic number.

3089291040 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 3089291040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5810234976).

3089291040 is an abundant number, since it is smaller than the sum of its proper divisors (8531178912).

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

3089291040 is a wasteful number, since it uses less digits than its factorization.

3089291040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2064 (or 2053 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 3089291040 is about 55581.3911304854. The cubic root of 3089291040 is about 1456.4187953198.

The spelling of 3089291040 in words is "three billion, eighty-nine million, two hundred ninety-one thousand, forty".