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1331234352 = 24347220963
BaseRepresentation
bin100111101011001…
…0000011000110000
310102202221201020000
41033112100120300
510211243444402
6340032550000
744663206500
oct11726203060
93382851200
101331234352
116234a1088
123119b2300
13182a52a46
14c8b31a00
157bd0ec1c
hex4f590630

1331234352 has 150 divisors (see below), whose sum is σ = 4482249948. Its totient is φ = 380334528.

The previous prime is 1331234341. The next prime is 1331234353. The reversal of 1331234352 is 2534321331.

1331234352 is a `hidden beast` number, since 1 + 3 + 312 + 343 + 5 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1331234353) 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 29 ways as a sum of consecutive naturals, for example, 53023 + ... + 73985.

Almost surely, 21331234352 is an apocalyptic number.

1331234352 is a gapful number since it is divisible by the number (12) 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 1331234352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2241124974).

1331234352 is an abundant number, since it is smaller than the sum of its proper divisors (3151015596).

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

1331234352 is a wasteful number, since it uses less digits than its factorization.

1331234352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20997 (or 20975 counting only the distinct ones).

The product of its digits is 6480, while the sum is 27.

The square root of 1331234352 is about 36486.0843610273. The cubic root of 1331234352 is about 1100.0645559909.

Adding to 1331234352 its reverse (2534321331), we get a palindrome (3865555683).

The spelling of 1331234352 in words is "one billion, three hundred thirty-one million, two hundred thirty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 81 84 98 108 112 126 144 147 162 168 189 196 216 252 294 324 336 378 392 432 441 504 567 588 648 756 784 882 1008 1134 1176 1296 1323 1512 1764 2268 2352 2646 3024 3528 3969 4536 5292 7056 7938 9072 10584 15876 20963 21168 31752 41926 62889 63504 83852 125778 146741 167704 188667 251556 293482 335408 377334 440223 503112 566001 586964 754668 880446 1006224 1027187 1132002 1173928 1320669 1509336 1698003 1760892 2054374 2264004 2347856 2641338 3018672 3081561 3396006 3521784 3962007 4108748 4528008 5282676 6163122 6792012 7043568 7924014 8217496 9056016 9244683 10565352 11886021 12326244 13584024 15848028 16434992 18489366 21130704 23772042 24652488 27168048 27734049 31696056 36978732 47544084 49304976 55468098 63392112 73957464 83202147 95088168 110936196 147914928 166404294 190176336 221872392 332808588 443744784 665617176 1331234352