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1003414412 = 22711131311913
BaseRepresentation
bin111011110011101…
…110001110001100
32120221002201210202
4323303232032030
54023333230122
6243322353032
733602611310
oct7363561614
92527081722
101003414412
11475446110
1224005b778
1312cb64350
1497399b40
155d157e92
hex3bcee38c

1003414412 has 96 divisors (see below), whose sum is σ = 2376912384. Its totient is φ = 357926400.

The previous prime is 1003414411. The next prime is 1003414481. The reversal of 1003414412 is 2144143001.

It is not an unprimeable number, because it can be changed into a prime (1003414411) 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, 523568 + ... + 525480.

It is an arithmetic number, because the mean of its divisors is an integer number (24759504).

Almost surely, 21003414412 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 1003414412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1188456192).

1003414412 is an abundant number, since it is smaller than the sum of its proper divisors (1373497972).

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

1003414412 is a wasteful number, since it uses less digits than its factorization.

1003414412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2079 (or 2077 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1003414412 is about 31676.7171910222. The cubic root of 1003414412 is about 1001.1368444283.

Adding to 1003414412 its reverse (2144143001), we get a palindrome (3147557413).

The spelling of 1003414412 in words is "one billion, three million, four hundred fourteen thousand, four hundred twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 131 143 154 182 262 286 308 364 524 572 917 1001 1441 1703 1834 1913 2002 2882 3406 3668 3826 4004 5764 6812 7652 10087 11921 13391 18733 20174 21043 23842 24869 26782 37466 40348 42086 47684 49738 53564 74932 84172 99476 131131 147301 174083 250603 262262 273559 294602 348166 501206 524524 547118 589204 696332 1002412 1094236 1754221 1914913 2756633 3257839 3508442 3829826 5513266 6515678 7016884 7659652 11026532 13031356 19296431 22804873 35836229 38592862 45609746 71672458 77185724 91219492 143344916 250853603 501707206 1003414412