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2906240688 = 2433132332221
BaseRepresentation
bin1010110100111001…
…1011011010110000
321111112121022202000
42231032123122300
521422444200223
61200214454000
7132006431631
oct25516333260
97445538660
102906240688
11126155170a
12691364300
13374147460
141d7d9b888
15120223543
hexad39b6b0

2906240688 has 160 divisors (see below), whose sum is σ = 9026297280. Its totient is φ = 889989120.

The previous prime is 2906240671. The next prime is 2906240719. The reversal of 2906240688 is 8860426092.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1307418 + ... + 1309638.

It is an arithmetic number, because the mean of its divisors is an integer number (56414358).

Almost surely, 22906240688 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 2906240688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4513148640).

2906240688 is an abundant number, since it is smaller than the sum of its proper divisors (6120056592).

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

2906240688 is a wasteful number, since it uses less digits than its factorization.

2906240688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2484 (or 2472 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 2906240688 is about 53909.5602653184. The cubic root of 2906240688 is about 1427.0653441758.

The spelling of 2906240688 in words is "two billion, nine hundred six million, two hundred forty thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 233 234 312 351 432 466 468 624 699 702 932 936 1398 1404 1864 1872 2097 2221 2796 2808 3029 3728 4194 4442 5592 5616 6058 6291 6663 8388 8884 9087 11184 12116 12582 13326 16776 17768 18174 19989 24232 25164 26652 27261 28873 33552 35536 36348 39978 48464 50328 53304 54522 57746 59967 72696 79956 81783 86619 100656 106608 109044 115492 119934 145392 159912 163566 173238 218088 230984 239868 259857 319824 327132 346476 436176 461968 479736 517493 519714 654264 692952 779571 959472 1034986 1039428 1308528 1385904 1552479 1559142 2069972 2078856 3104958 3118284 4139944 4157712 4657437 6209916 6236568 6727409 8279888 9314874 12419832 12473136 13454818 13972311 18629748 20182227 24839664 26909636 27944622 37259496 40364454 53819272 55889244 60546681 74518992 80728908 107638544 111778488 121093362 161457816 181640043 223556976 242186724 322915632 363280086 484373448 726560172 968746896 1453120344 2906240688