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1030382208 = 2735157211
BaseRepresentation
bin111101011010100…
…110001010000000
32122210211211200000
4331122212022000
54102234212313
6250124400000
734351050522
oct7532461200
92583754600
101030382208
11489695449
122490a6000
1313561711b
149abb9a12
15606d3673
hex3d6a6280

1030382208 has 192 divisors, whose sum is σ = 3109098720. Its totient is φ = 339655680.

The previous prime is 1030382201. The next prime is 1030382231. The reversal of 1030382208 is 8022830301.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-4 number, since 4×10303822084 (a number of 37 digits) contains 4444 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1030382201) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4883223 + ... + 4883433.

Almost surely, 21030382208 is an apocalyptic number.

1030382208 is a gapful number since it is divisible by the number (18) 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 1030382208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1554549360).

1030382208 is an abundant number, since it is smaller than the sum of its proper divisors (2078716512).

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

1030382208 is an equidigital number, since it uses as much as digits as its factorization.

1030382208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1030382208 is about 32099.5670998847. The cubic root of 1030382208 is about 1010.0265352634.

The spelling of 1030382208 in words is "one billion, thirty million, three hundred eighty-two thousand, two hundred eight".