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4029304104 = 2332723373389
BaseRepresentation
bin1111000000101010…
…0100110100101000
3101101210211212010100
43300022210310220
531223000212404
61503453545400
7201564343200
oct36012446450
911353755110
104029304104
1117884898a1
129454a5260
134c2a11a17
142a31c1400
15188b12d39
hexf02a4d28

4029304104 has 144 divisors (see below), whose sum is σ = 12735789300. Its totient is φ = 1147474944.

The previous prime is 4029304099. The next prime is 4029304177. The reversal of 4029304104 is 4014039204.

It can be written as a sum of positive squares in 2 ways, for example, as 3890016900 + 139287204 = 62370^2 + 11802^2 .

It is a super-2 number, since 2×40293041042 = 32470583125022485632, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1187242 + ... + 1190630.

Almost surely, 24029304104 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 4029304104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6367894650).

4029304104 is an abundant number, since it is smaller than the sum of its proper divisors (8706485196).

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

4029304104 is a wasteful number, since it uses less digits than its factorization.

4029304104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3752 (or 3738 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 4029304104 is about 63476.7997302952. The cubic root of 4029304104 is about 1591.2680711180.

The spelling of 4029304104 in words is "four billion, twenty-nine million, three hundred four thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 337 392 441 504 588 674 882 1011 1176 1348 1764 2022 2359 2696 3033 3389 3528 4044 4718 6066 6778 7077 8088 9436 10167 12132 13556 14154 16513 18872 20334 21231 23723 24264 27112 28308 30501 33026 40668 42462 47446 49539 56616 61002 66052 71169 81336 84924 94892 99078 122004 132104 142338 148617 166061 169848 189784 198156 213507 244008 284676 297234 332122 396312 427014 498183 569352 594468 664244 854028 996366 1142093 1188936 1328488 1494549 1708056 1992732 2284186 2989098 3426279 3985464 4568372 5978196 6852558 7994651 9136744 10278837 11956392 13705116 15989302 20557674 23983953 27410232 31978604 41115348 47967906 55962557 63957208 71951859 82230696 95935812 111925114 143903718 167887671 191871624 223850228 287807436 335775342 447700456 503663013 575614872 671550684 1007326026 1343101368 2014652052 4029304104