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1004333412 = 2231731247109
BaseRepresentation
bin111011110111001…
…110100101100100
32120222211102102210
4323313032211210
54024102132122
6243354203420
733613456515
oct7367164544
92528742383
101004333412
11475a13615
12240423570
131300c6734
1497558a0c
155d28a40c
hex3bdce964

1004333412 has 144 divisors (see below), whose sum is σ = 2642492160. Its totient is φ = 295695360.

The previous prime is 1004333357. The next prime is 1004333419. The reversal of 1004333412 is 2143334001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004333419) 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, 9214014 + ... + 9214122.

It is an arithmetic number, because the mean of its divisors is an integer number (18350640).

Almost surely, 21004333412 is an apocalyptic number.

1004333412 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 1004333412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321246080).

1004333412 is an abundant number, since it is smaller than the sum of its proper divisors (1638158748).

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

1004333412 is a wasteful number, since it uses less digits than its factorization.

1004333412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 1004333412 is about 31691.2197935012. The cubic root of 1004333412 is about 1001.4423891798.

Adding to 1004333412 its reverse (2143334001), we get a palindrome (3147667413).

The spelling of 1004333412 in words is "one billion, four million, three hundred thirty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 17 31 34 47 51 62 68 93 94 102 109 124 141 186 188 204 218 282 327 372 436 527 564 654 799 961 1054 1308 1457 1581 1598 1853 1922 2108 2397 2883 2914 3162 3196 3379 3706 3844 4371 4794 5123 5559 5766 5828 6324 6758 7412 8742 9588 10137 10246 11118 11532 13516 15369 16337 17484 20274 20492 22236 24769 30738 32674 40548 45167 49011 49538 57443 61476 65348 74307 87091 90334 98022 99076 104749 114886 135501 148614 158813 172329 174182 180668 196044 209498 229772 261273 271002 297228 314247 317626 344658 348364 418996 476439 522546 542004 628494 635252 689316 767839 952878 1045092 1256988 1535678 1780733 1905756 2303517 2699821 3071356 3561466 4607034 4923203 5342199 5399642 7122932 8099463 9214068 9846406 10684398 10799284 14769609 16198926 19692812 21368796 29539218 32397852 59078436 83694451 167388902 251083353 334777804 502166706 1004333412