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3104506328 = 2372112321361
BaseRepresentation
bin1011100100001011…
…0000000111011000
322000100200021001212
42321002300013120
522324223200303
61232020202252
7136634603600
oct27102600730
98010607055
103104506328
11135345a610
12727839388
133a62451c1
1421644bc00
15132838ad8
hexb90b01d8

3104506328 has 144 divisors (see below), whose sum is σ = 7727688360. Its totient is φ = 1156108800.

The previous prime is 3104506297. The next prime is 3104506331. The reversal of 3104506328 is 8236054013.

It is a junction number, because it is equal to n+sod(n) for n = 3104506294 and 3104506303.

It is a congruent number.

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, 2280368 + ... + 2281728.

Almost surely, 23104506328 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 3104506328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3863844180).

3104506328 is an abundant number, since it is smaller than the sum of its proper divisors (4623182032).

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

3104506328 is a wasteful number, since it uses less digits than its factorization.

3104506328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1438 (or 1404 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 3104506328 is about 55718.0969524265. The cubic root of 3104506328 is about 1458.8059180208.

The spelling of 3104506328 in words is "three billion, one hundred four million, five hundred six thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 22 23 28 44 46 49 56 77 88 92 98 154 161 184 196 253 308 322 392 506 529 539 616 644 1012 1058 1078 1127 1288 1361 1771 2024 2116 2156 2254 2722 3542 3703 4232 4312 4508 5444 5819 7084 7406 9016 9527 10888 11638 12397 14168 14812 14971 19054 23276 24794 25921 29624 29942 31303 38108 40733 46552 49588 51842 59884 62606 66689 76216 81466 99176 103684 104797 119768 125212 133378 162932 207368 209594 219121 250424 266756 285131 325864 344333 419188 438242 533512 570262 688666 719969 733579 838376 876484 1140524 1377332 1439938 1467158 1533847 1752968 2281048 2410331 2754664 2879876 2934316 3067694 4820662 5039783 5759752 5868632 6135388 7919659 9641324 10079566 12270776 15839318 16872317 19282648 20159132 31678636 33744634 35278481 40318264 55437613 63357272 67489268 70556962 110875226 134978536 141113924 221750452 282227848 388063291 443500904 776126582 1552253164 3104506328