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1083265344 = 2632735483
BaseRepresentation
bin100000010010001…
…0101000101000000
32210111100120200200
41000210111011000
54204303442334
6255254045200
735562414000
oct10044250500
92714316620
101083265344
11506525317
12262949800
13143571915
14a3c24000
156517c799
hex40915140

1083265344 has 168 divisors, whose sum is σ = 3621633600. Its totient is φ = 309447936.

The previous prime is 1083265343. The next prime is 1083265361. The reversal of 1083265344 is 4435623801.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×10832653442 = 2346927611022876672, which contains 22 as substring.

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 = 1083265299 and 1083265308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1083265343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 194827 + ... + 200309.

Almost surely, 21083265344 is an apocalyptic number.

1083265344 is a gapful number since it is divisible by the number (14) 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 1083265344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1810816800).

1083265344 is an abundant number, since it is smaller than the sum of its proper divisors (2538368256).

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

1083265344 is an equidigital number, since it uses as much as digits as its factorization.

1083265344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5522 (or 5495 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 1083265344 is about 32912.9965818976. The cubic root of 1083265344 is about 1027.0185387087.

It can be divided in two parts, 10832 and 65344, that added together give a square (76176 = 2762).

The spelling of 1083265344 in words is "one billion, eighty-three million, two hundred sixty-five thousand, three hundred forty-four".