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3238075008 = 27337137977
BaseRepresentation
bin1100000100000001…
…0001101010000000
322100200000020212000
43001000101222000
523112421400013
61253151104000
7143146116630
oct30100215200
98320006760
103238075008
111411899753
12764512000
133c7b1011c
1422a09a6c0
1513e41e973
hexc1011a80

3238075008 has 256 divisors, whose sum is σ = 11013062400. Its totient is φ = 917471232.

The previous prime is 3238074991. The next prime is 3238075037. The reversal of 3238075008 is 8005708323.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3313816 + ... + 3314792.

It is an arithmetic number, because the mean of its divisors is an integer number (43019775).

Almost surely, 23238075008 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 3238075008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5506531200).

3238075008 is an abundant number, since it is smaller than the sum of its proper divisors (7774987392).

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

3238075008 is a wasteful number, since it uses less digits than its factorization.

3238075008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 3238075008 is about 56904.0860395807. The cubic root of 3238075008 is about 1479.4341347818.

The spelling of 3238075008 in words is "three billion, two hundred thirty-eight million, seventy-five thousand, eight".