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3300493968 = 2432176720123
BaseRepresentation
bin1100010010111001…
…1000101010010000
322112000110110120100
43010232120222100
523224411301333
61303301012400
7144534510252
oct30456305220
98460413510
103300493968
111444051a72
127813b4100
13407a26115
142344a7cd2
15144b4e213
hexc4b98a90

3300493968 has 120 divisors (see below), whose sum is σ = 9926605728. Its totient is φ = 1019943936.

The previous prime is 3300493961. The next prime is 3300493969. The reversal of 3300493968 is 8693940033.

It is not an unprimeable number, because it can be changed into a prime (3300493961) 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 23 ways as a sum of consecutive naturals, for example, 153955 + ... + 174077.

Almost surely, 23300493968 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 3300493968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4963302864).

3300493968 is an abundant number, since it is smaller than the sum of its proper divisors (6626111760).

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

3300493968 is a wasteful number, since it uses less digits than its factorization.

3300493968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20221 (or 20212 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 3300493968 is about 57449.9257440773. The cubic root of 3300493968 is about 1488.8798343286.

The spelling of 3300493968 in words is "three billion, three hundred million, four hundred ninety-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 67 68 72 102 134 136 144 153 201 204 268 272 306 402 408 536 603 612 804 816 1072 1139 1206 1224 1608 2278 2412 2448 3216 3417 4556 4824 6834 9112 9648 10251 13668 18224 20123 20502 27336 40246 41004 54672 60369 80492 82008 120738 160984 164016 181107 241476 321968 342091 362214 482952 684182 724428 965904 1026273 1348241 1368364 1448856 2052546 2696482 2736728 2897712 3078819 4044723 4105092 5392964 5473456 6157638 8089446 8210184 10785928 12134169 12315276 16178892 16420368 21571856 22920097 24268338 24630552 32357784 45840194 48536676 49261104 64715568 68760291 91680388 97073352 137520582 183360776 194146704 206280873 275041164 366721552 412561746 550082328 825123492 1100164656 1650246984 3300493968