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304540104 = 2331143139193
BaseRepresentation
bin10010001001101…
…110100111001000
3210020001020111010
4102021232213020
51110430240404
650115203520
710355356011
oct2211564710
9706036433
10304540104
111469a5540
1285ba65a0
134b12a45b
142c636008
151bb09189
hex1226e9c8

304540104 has 128 divisors (see below), whose sum is σ = 860428800. Its totient is φ = 89026560.

The previous prime is 304540099. The next prime is 304540109. The reversal of 304540104 is 401045403.

It is an interprime number because it is at equal distance from previous prime (304540099) and next prime (304540109).

It is not an unprimeable number, because it can be changed into a prime (304540109) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1577832 + ... + 1578024.

It is an arithmetic number, because the mean of its divisors is an integer number (6722100).

Almost surely, 2304540104 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 304540104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430214400).

304540104 is an abundant number, since it is smaller than the sum of its proper divisors (555888696).

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

304540104 is a wasteful number, since it uses less digits than its factorization.

304540104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 304540104 is about 17451.0774452468. The cubic root of 304540104 is about 672.7930511106.

Adding to 304540104 its reverse (401045403), we get a palindrome (705585507).

The spelling of 304540104 in words is "three hundred four million, five hundred forty thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 43 44 66 86 88 129 132 139 172 193 258 264 278 344 386 417 473 516 556 579 772 834 946 1032 1112 1158 1419 1529 1544 1668 1892 2123 2316 2838 3058 3336 3784 4246 4587 4632 5676 5977 6116 6369 8299 8492 9174 11352 11954 12232 12738 16598 16984 17931 18348 23908 24897 25476 26827 33196 35862 36696 47816 49794 50952 53654 65747 66392 71724 80481 91289 99588 107308 131494 143448 160962 182578 197241 199176 214616 262988 273867 295097 321924 365156 394482 525976 547734 590194 643848 730312 788964 885291 1095468 1153561 1180388 1577928 1770582 2190936 2307122 2360776 3460683 3541164 4614244 6921366 7082328 9228488 12689171 13842732 25378342 27685464 38067513 50756684 76135026 101513368 152270052 304540104