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3200320032 = 253713379901
BaseRepresentation
bin1011111011000001…
…0000001000100000
322021000222002202120
42332300100020200
523023240220112
61245321544240
7142210162050
oct27660201040
98230862676
103200320032
1113a2551898
12753945080
133c00513c0
1422506d560
1513ae62e8c
hexbec10220

3200320032 has 192 divisors, whose sum is σ = 10620013824. Its totient is φ = 821145600.

The previous prime is 3200320009. The next prime is 3200320063. The reversal of 3200320032 is 2300230023.

It is a super-3 number, since 3×32003200323 (a number of 29 digits) contains 333 as substring.

3200320032 is a modest number, since divided by 320032 gives 32 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 3200319993 and 3200320020.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 318282 + ... + 328182.

It is an arithmetic number, because the mean of its divisors is an integer number (55312572).

Almost surely, 23200320032 is an apocalyptic number.

3200320032 is a gapful number since it is divisible by the number (32) 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 3200320032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5310006912).

3200320032 is an abundant number, since it is smaller than the sum of its proper divisors (7419693792).

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

3200320032 is a wasteful number, since it uses less digits than its factorization.

3200320032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9971 (or 9963 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 15.

The square root of 3200320032 is about 56571.3711341700. The cubic root of 3200320032 is about 1473.6617231506.

Adding to 3200320032 its reverse (2300230023), we get a palindrome (5500550055).

Subtracting from 3200320032 its reverse (2300230023), we obtain a palindrome (900090009).

The spelling of 3200320032 in words is "three billion, two hundred million, three hundred twenty thousand, thirty-two".