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3201196032 = 2133341353
BaseRepresentation
bin1011111011001110…
…0110000000000000
322021002121121102000
42332303212000000
523024001233112
61245352424000
7142220501016
oct27663460000
98232547360
103201196032
1113a2a9aa61
127540a8000
133c029a048
1422521a8b6
1513b0877dc
hexbece6000

3201196032 has 224 divisors, whose sum is σ = 9743297760. Its totient is φ = 1038090240.

The previous prime is 3201196021. The next prime is 3201196069. The reversal of 3201196032 is 2306911023.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3201195987 and 3201196005.

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 15 ways as a sum of consecutive naturals, for example, 9068368 + ... + 9068720.

It is an arithmetic number, because the mean of its divisors is an integer number (43496865).

Almost surely, 23201196032 is an apocalyptic number.

3201196032 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 3201196032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4871648880).

3201196032 is an abundant number, since it is smaller than the sum of its proper divisors (6542101728).

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

3201196032 is an equidigital number, since it uses as much as digits as its factorization.

3201196032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 3201196032 is about 56579.1130365261. The cubic root of 3201196032 is about 1473.7961690695.

The spelling of 3201196032 in words is "three billion, two hundred one million, one hundred ninety-six thousand, thirty-two".