Search a number
-
+
255328304 = 247111773167
BaseRepresentation
bin11110011100000…
…00000000110000
3122210110000120212
433032000000300
51010331001204
641200323252
76220153250
oct1716000060
9583400525
10255328304
11121142a30
1271613528
1340b89a4a
1425ca5960
1517637c6e
hexf380030

255328304 has 160 divisors (see below), whose sum is σ = 665957376. Its totient is φ = 91791360.

The previous prime is 255328291. The next prime is 255328331. The reversal of 255328304 is 403823552.

255328304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1528829 + ... + 1528995.

Almost surely, 2255328304 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 255328304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332978688).

255328304 is an abundant number, since it is smaller than the sum of its proper divisors (410629072).

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

255328304 is a wasteful number, since it uses less digits than its factorization.

255328304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The square root of 255328304 is about 15978.9957131229. The cubic root of 255328304 is about 634.4045953465.

The spelling of 255328304 in words is "two hundred fifty-five million, three hundred twenty-eight thousand, three hundred four".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 34 44 56 68 73 77 88 112 119 136 146 154 167 176 187 238 272 292 308 334 374 476 511 584 616 668 748 803 952 1022 1168 1169 1232 1241 1309 1336 1496 1606 1837 1904 2044 2338 2482 2618 2672 2839 2992 3212 3674 4088 4676 4964 5236 5621 5678 6424 7348 8176 8687 9352 9928 10472 11242 11356 12191 12848 12859 13651 14696 17374 18704 19856 19873 20944 22484 22712 24382 25718 27302 29392 31229 34748 39746 44968 45424 48764 51436 54604 62458 69496 79492 85337 89936 95557 97528 102872 109208 124916 134101 138992 158984 170674 191114 195056 205744 207247 218416 218603 249832 268202 317968 341348 382228 414494 437206 499664 536404 682696 764456 828988 874412 938707 1072808 1365392 1450729 1528912 1657976 1748824 1877414 2145616 2279717 2901458 3315952 3497648 3754828 4559434 5802916 7509656 9118868 11605832 15019312 15958019 18237736 23211664 31916038 36475472 63832076 127664152 255328304