Search a number
-
+
3291804192 = 2533110310739
BaseRepresentation
bin1100010000110100…
…1111001000100000
322111102002222102210
43010031033020200
523220200213232
61302350442120
7144400605525
oct30415171040
98442088383
103291804192
11143a157236
1277a503340
13405ca2a41
1423328514c
15143ed45cc
hexc434f220

3291804192 has 96 divisors (see below), whose sum is σ = 9007165440. Its totient is φ = 1051464960.

The previous prime is 3291804179. The next prime is 3291804247. The reversal of 3291804192 is 2914081923.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 3291804192.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 301159 + ... + 311897.

It is an arithmetic number, because the mean of its divisors is an integer number (93824640).

Almost surely, 23291804192 is an apocalyptic number.

3291804192 is a gapful number since it is divisible by the number (32) 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 3291804192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4503582720).

3291804192 is an abundant number, since it is smaller than the sum of its proper divisors (5715361248).

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

3291804192 is a wasteful number, since it uses less digits than its factorization.

3291804192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10886 (or 10878 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 3291804192 is about 57374.2467662975. The cubic root of 3291804192 is about 1487.5720095262.

The spelling of 3291804192 in words is "three billion, two hundred ninety-one million, eight hundred four thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 103 124 186 206 248 309 372 412 496 618 744 824 992 1236 1488 1648 2472 2976 3193 3296 4944 6386 9579 9888 10739 12772 19158 21478 25544 32217 38316 42956 51088 64434 76632 85912 102176 128868 153264 171824 257736 306528 332909 343648 515472 665818 998727 1030944 1106117 1331636 1997454 2212234 2663272 3318351 3994908 4424468 5326544 6636702 7989816 8848936 10653088 13273404 15979632 17697872 26546808 31959264 34289627 35395744 53093616 68579254 102868881 106187232 137158508 205737762 274317016 411475524 548634032 822951048 1097268064 1645902096 3291804192