Search a number
-
+
3308966496 = 2532111761441
BaseRepresentation
bin1100010100111010…
…1101001001100000
322112121101220200200
43011032231021200
523234043411441
61304202345200
7144666515433
oct30516551140
98477356620
103308966496
111448909560
127841bb200
13409701654
1423567181a
151457747b6
hexc53ad260

3308966496 has 144 divisors (see below), whose sum is σ = 10869335568. Its totient is φ = 943718400.

The previous prime is 3308966483. The next prime is 3308966501. The reversal of 3308966496 is 6946698033.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23136 + ... + 84576.

It is an arithmetic number, because the mean of its divisors is an integer number (75481497).

Almost surely, 23308966496 is an apocalyptic number.

3308966496 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3308966496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5434667784).

3308966496 is an abundant number, since it is smaller than the sum of its proper divisors (7560369072).

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

3308966496 is a wasteful number, since it uses less digits than its factorization.

3308966496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61485 (or 61474 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The square root of 3308966496 is about 57523.6168542973. The cubic root of 3308966496 is about 1490.1527546347.

The spelling of 3308966496 in words is "three billion, three hundred eight million, nine hundred sixty-six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 17 18 22 24 32 33 34 36 44 48 51 66 68 72 88 96 99 102 132 136 144 153 176 187 198 204 264 272 288 306 352 374 396 408 528 544 561 612 748 792 816 1056 1122 1224 1496 1584 1632 1683 2244 2448 2992 3168 3366 4488 4896 5984 6732 8976 13464 17952 26928 53856 61441 122882 184323 245764 368646 491528 552969 675851 737292 983056 1044497 1105938 1351702 1474584 1966112 2027553 2088994 2211876 2703404 2949168 3133491 4055106 4177988 4423752 5406808 5898336 6082659 6266982 8110212 8355976 8847504 9400473 10813616 11489467 12165318 12533964 16220424 16711952 17695008 18800946 21627232 22978934 24330636 25067928 32440848 33423904 34468401 37601892 45957868 48661272 50135856 64881696 68936802 75203784 91915736 97322544 100271712 103405203 137873604 150407568 183831472 194645088 206810406 275747208 300815136 367662944 413620812 551494416 827241624 1102988832 1654483248 3308966496