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1324054044 = 22321729611223
BaseRepresentation
bin100111011101011…
…0111011000011100
310102021102220200200
41032322313120130
510202424212134
6335215023500
744545162605
oct11672673034
93367386620
101324054044
1161a437445
1230b50ab90
1318140a741
14c7bc2dac
157b392499
hex4eeb761c

1324054044 has 144 divisors (see below), whose sum is σ = 3729136320. Its totient is φ = 394168320.

The previous prime is 1324054033. The next prime is 1324054049. The reversal of 1324054044 is 4404504231.

It is a happy number.

1324054044 is a `hidden beast` number, since 13 + 240 + 5 + 404 + 4 = 666.

It is a super-2 number, since 2×13240540442 = 3506238222865507872, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1324053999 and 1324054017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1324054049) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1082017 + ... + 1083239.

It is an arithmetic number, because the mean of its divisors is an integer number (25896780).

Almost surely, 21324054044 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 1324054044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1864568160).

1324054044 is an abundant number, since it is smaller than the sum of its proper divisors (2405082276).

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

1324054044 is a wasteful number, since it uses less digits than its factorization.

1324054044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1340 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 1324054044 is about 36387.5534214654. The cubic root of 1324054044 is about 1098.0831752414.

Adding to 1324054044 its reverse (4404504231), we get a palindrome (5728558275).

The spelling of 1324054044 in words is "one billion, three hundred twenty-four million, fifty-four thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 29 34 36 51 58 61 68 87 102 116 122 153 174 183 204 244 261 306 348 366 493 522 549 612 732 986 1037 1044 1098 1223 1479 1769 1972 2074 2196 2446 2958 3111 3538 3669 4148 4437 4892 5307 5916 6222 7076 7338 8874 9333 10614 11007 12444 14676 15921 17748 18666 20791 21228 22014 30073 31842 35467 37332 41582 44028 60146 62373 63684 70934 74603 83164 90219 106401 120292 124746 141868 149206 180438 187119 212802 223809 249492 270657 298412 319203 360876 374238 425604 447618 541314 602939 638406 671427 748476 895236 1082628 1205878 1268251 1276812 1342854 1808817 2163487 2411756 2536502 2685708 3617634 3804753 4326974 5073004 5426451 6490461 7235268 7609506 8653948 10852902 11414259 12980922 15219012 19471383 21705804 22828518 25961844 36779279 38942766 45657036 73558558 77885532 110337837 147117116 220675674 331013511 441351348 662027022 1324054044