Search a number
-
+
3245055232 = 28127151661
BaseRepresentation
bin1100000101101011…
…1001110100000000
322101011010212220211
43001122321310000
523121213231412
61254000443504
7143262341266
oct30132716400
98334125824
103245055232
111415827031
12766919594
133c93b5333
1422ad96436
1513ed4cca7
hexc16b9d00

3245055232 has 72 divisors (see below), whose sum is σ = 6581614592. Its totient is φ = 1596672000.

The previous prime is 3245055199. The next prime is 3245055259. The reversal of 3245055232 is 2325505423.

It is a junction number, because it is equal to n+sod(n) for n = 3245055194 and 3245055203.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 4908982 + ... + 4909642.

Almost surely, 23245055232 is an apocalyptic number.

3245055232 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 3245055232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3290807296).

3245055232 is an abundant number, since it is smaller than the sum of its proper divisors (3336559360).

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

3245055232 is a wasteful number, since it uses less digits than its factorization.

3245055232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 31.

The square root of 3245055232 is about 56965.3862621856. The cubic root of 3245055232 is about 1480.4964295218.

The spelling of 3245055232 in words is "three billion, two hundred forty-five million, fifty-five thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 127 128 151 254 256 302 508 604 661 1016 1208 1322 2032 2416 2644 4064 4832 5288 8128 9664 10576 16256 19177 19328 21152 32512 38354 38656 42304 76708 83947 84608 99811 153416 167894 169216 199622 306832 335788 399244 613664 671576 798488 1227328 1343152 1596976 2454656 2686304 3193952 4909312 5372608 6387904 10745216 12675997 12775808 21490432 25351994 25551616 50703988 101407976 202815952 405631904 811263808 1622527616 3245055232