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3004433124 = 22371113124821
BaseRepresentation
bin1011001100010100…
…0000001011100100
321202101101000102220
42303011000023210
522123113324444
61214043232340
7134311155150
oct26305001344
97671330386
103004433124
111301a19090
126ba2186b0
1338b5a72a4
1420703c060
15128b6c619
hexb31402e4

3004433124 has 96 divisors (see below), whose sum is σ = 8807242752. Its totient is φ = 774384000.

The previous prime is 3004433093. The next prime is 3004433129. The reversal of 3004433124 is 4213344003.

It is a junction number, because it is equal to n+sod(n) for n = 3004433094 and 3004433103.

It is not an unprimeable number, because it can be changed into a prime (3004433129) 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, 108634 + ... + 133454.

It is an arithmetic number, because the mean of its divisors is an integer number (91742112).

Almost surely, 23004433124 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 3004433124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4403621376).

3004433124 is an abundant number, since it is smaller than the sum of its proper divisors (5802809628).

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

3004433124 is a wasteful number, since it uses less digits than its factorization.

3004433124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24977 (or 24975 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 3004433124 is about 54812.7095115722. The cubic root of 3004433124 is about 1442.9596285786.

Adding to 3004433124 its reverse (4213344003), we get a palindrome (7217777127).

The spelling of 3004433124 in words is "three billion, four million, four hundred thirty-three thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 131 132 154 231 262 308 393 462 524 786 917 924 1441 1572 1834 2751 2882 3668 4323 5502 5764 8646 10087 11004 17292 20174 24821 30261 40348 49642 60522 74463 99284 121044 148926 173747 273031 297852 347494 521241 546062 694988 819093 1042482 1092124 1638186 1911217 2084964 3251551 3276372 3822434 5733651 6503102 7644868 9754653 11467302 13006204 19509306 22760857 22934604 35767061 39018612 45521714 68282571 71534122 91043428 107301183 136565142 143068244 214602366 250369427 273130284 429204732 500738854 751108281 1001477708 1502216562 3004433124