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1131343344 = 2432113251277
BaseRepresentation
bin100001101101110…
…1110110111110000
32220211211012022100
41003123232313300
54304110441334
6304132340400
740015155045
oct10333566760
92824735270
101131343344
11530682aaa
12276a74700
13150506241
14aa37b1cc
15694c7c99
hex436eedf0

1131343344 has 120 divisors (see below), whose sum is σ = 3218512752. Its totient is φ = 370944000.

The previous prime is 1131343303. The next prime is 1131343363. The reversal of 1131343344 is 4433431311.

1131343344 is a `hidden beast` number, since 1 + 1 + 313 + 4 + 3 + 344 = 666.

It is a super-3 number, since 3×11313433443 (a number of 28 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4084134 + ... + 4084410.

Almost surely, 21131343344 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 1131343344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1609256376).

1131343344 is an abundant number, since it is smaller than the sum of its proper divisors (2087169408).

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

1131343344 is a wasteful number, since it uses less digits than its factorization.

1131343344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 646 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 1131343344 is about 33635.4477300362. The cubic root of 1131343344 is about 1041.9930174659.

Adding to 1131343344 its reverse (4433431311), we get a palindrome (5564774655).

The spelling of 1131343344 in words is "one billion, one hundred thirty-one million, three hundred forty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 113 144 226 251 277 339 452 502 554 678 753 831 904 1004 1017 1108 1356 1506 1662 1808 2008 2034 2216 2259 2493 2712 3012 3324 4016 4068 4432 4518 4986 5424 6024 6648 8136 9036 9972 12048 13296 16272 18072 19944 28363 31301 36144 39888 56726 62602 69527 85089 93903 113452 125204 139054 170178 187806 208581 226904 250408 255267 278108 281709 340356 375612 417162 453808 500816 510534 556216 563418 625743 680712 751224 834324 1021068 1112432 1126836 1251486 1361424 1502448 1668648 2042136 2253672 2502972 3337296 4084272 4507344 5005944 7856551 10011888 15713102 23569653 31426204 47139306 62852408 70708959 94278612 125704816 141417918 188557224 282835836 377114448 565671672 1131343344