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1134444032 = 2921110501
BaseRepresentation
bin100001110011110…
…0011111000000000
32221001122201122122
41003213203320000
54310404202112
6304323023412
740053421001
oct10347437000
92831581578
101134444032
11532400657
12277b0ab68
13151050677
14aa9471a8
15698db872
hex439e3e00

1134444032 has 40 divisors (see below), whose sum is σ = 2277631752. Its totient is φ = 564480000.

The previous prime is 1134443993. The next prime is 1134444043. The reversal of 1134444032 is 2304444311.

It is a junction number, because it is equal to n+sod(n) for n = 1134443992 and 1134444010.

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 3 ways as a sum of consecutive naturals, for example, 102782 + ... + 113282.

Almost surely, 21134444032 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 1134444032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1138815876).

1134444032 is an abundant number, since it is smaller than the sum of its proper divisors (1143187720).

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

1134444032 is an equidigital number, since it uses as much as digits as its factorization.

1134444032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10730 (or 10714 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 1134444032 is about 33681.5087548049. The cubic root of 1134444032 is about 1042.9440839115.

Adding to 1134444032 its reverse (2304444311), we get a palindrome (3438888343).

The spelling of 1134444032 in words is "one billion, one hundred thirty-four million, four hundred forty-four thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 128 211 256 422 512 844 1688 3376 6752 10501 13504 21002 27008 42004 54016 84008 108032 168016 336032 672064 1344128 2215711 2688256 4431422 5376512 8862844 17725688 35451376 70902752 141805504 283611008 567222016 1134444032