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1004334012 = 2233116113859
BaseRepresentation
bin111011110111001…
…110101110111100
32120222211110021000
4323313032232330
54024102142022
6243354210300
733613461333
oct7367165674
92528743230
101004334012
11475a14010
12240423990
131300c6aa6
1497558d1a
155d28a6ac
hex3bdcebbc

1004334012 has 96 divisors (see below), whose sum is σ = 2887315200. Its totient is φ = 299332800.

The previous prime is 1004333999. The next prime is 1004334017. The reversal of 1004334012 is 2104334001.

It is a super-2 number, since 2×10043340122 = 2017373615320032288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004334017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65539 + ... + 79397.

It is an arithmetic number, because the mean of its divisors is an integer number (30076200).

Almost surely, 21004334012 is an apocalyptic number.

1004334012 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 1004334012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1443657600).

1004334012 is an abundant number, since it is smaller than the sum of its proper divisors (1882981188).

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

1004334012 is a wasteful number, since it uses less digits than its factorization.

1004334012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13944 (or 13936 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1004334012 is about 31691.2292598441. The cubic root of 1004334012 is about 1001.4425886041.

Adding to 1004334012 its reverse (2104334001), we get a palindrome (3108668013).

The spelling of 1004334012 in words is "one billion, four million, three hundred thirty-four thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 61 66 99 108 122 132 183 198 244 297 366 396 549 594 671 732 1098 1188 1342 1647 2013 2196 2684 3294 4026 6039 6588 8052 12078 13859 18117 24156 27718 36234 41577 55436 72468 83154 124731 152449 166308 249462 304898 374193 457347 498924 609796 748386 845399 914694 1372041 1496772 1690798 1829388 2536197 2744082 3381596 4116123 5072394 5488164 7608591 8232246 9299389 10144788 15217182 16464492 18598778 22825773 27898167 30434364 37197556 45651546 55796334 83694501 91303092 111592668 167389002 251083503 334778004 502167006 1004334012