Search a number
-
+
330335082 = 232711247461
BaseRepresentation
bin10011101100001…
…000001101101010
3212000120202112200
4103230020031222
51134031210312
652440121030
711120542020
oct2354101552
9760522480
10330335082
1115a513700
1292766176
135358c45c
1431c2c710
151e0020dc
hex13b0836a

330335082 has 144 divisors (see below), whose sum is σ = 920215296. Its totient is φ = 83793600.

The previous prime is 330335081. The next prime is 330335087. The reversal of 330335082 is 280533033.

It is a happy number.

330335082 is a `hidden beast` number, since 3 + 303 + 350 + 8 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (330335081) 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 71 ways as a sum of consecutive naturals, for example, 716332 + ... + 716792.

It is an arithmetic number, because the mean of its divisors is an integer number (6390384).

Almost surely, 2330335082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330335082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460107648).

330335082 is an abundant number, since it is smaller than the sum of its proper divisors (589880214).

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

330335082 is a wasteful number, since it uses less digits than its factorization.

330335082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 330335082 is about 18175.1226130665. The cubic root of 330335082 is about 691.2761386717.

The spelling of 330335082 in words is "three hundred thirty million, three hundred thirty-five thousand, eighty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 47 63 66 77 94 99 121 126 141 154 198 231 242 282 329 363 423 461 462 517 658 693 726 846 847 922 987 1034 1089 1383 1386 1551 1694 1974 2178 2541 2766 2961 3102 3227 3619 4149 4653 5071 5082 5687 5922 6454 7238 7623 8298 9306 9681 10142 10857 11374 15213 15246 17061 19362 21667 21714 29043 30426 32571 34122 35497 39809 43334 45639 51183 55781 58086 65001 65142 70994 79618 91278 102366 106491 111562 119427 130002 151669 167343 195003 212982 238337 238854 303338 319473 334686 358281 390006 390467 455007 476674 502029 638946 715011 716562 780934 910014 1004058 1171401 1365021 1430022 1668359 2145033 2342802 2621707 2730042 3336718 3514203 4290066 5005077 5243414 7028406 7865121 10010154 15015231 15730242 18351949 23595363 30030462 36703898 47190726 55055847 110111694 165167541 330335082