Search a number
-
+
3233808384 = 2223257
BaseRepresentation
bin1100000011000000…
…0000000000000000
322100100222111010220
43000300000000000
523110323332014
61252515423040
7143064626532
oct30060000000
98310874126
103233808384
11140a445114
12762bb4a80
133c6c780b1
142296a9852
1513dd7a6a9
hexc0c00000

3233808384 has 92 divisors (see below), whose sum is σ = 8657042424. Its totient is φ = 1073741824.

The previous prime is 3233808377. The next prime is 3233808437. The reversal of 3233808384 is 4838083323.

It is a zygodrome in base 2.

It is an unprimeable number.

In principle, a polygon with 3233808384 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12582784 + ... + 12583040.

Almost surely, 23233808384 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 3233808384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4328521212).

3233808384 is an abundant number, since it is smaller than the sum of its proper divisors (5423234040).

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

3233808384 is an frugal number, since it uses more digits than its factorization.

3233808384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The square root of 3233808384 is about 56866.5840718431. The cubic root of 3233808384 is about 1478.7840609361.

The spelling of 3233808384 in words is "three billion, two hundred thirty-three million, eight hundred eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 257 384 512 514 768 771 1024 1028 1536 1542 2048 2056 3072 3084 4096 4112 6144 6168 8192 8224 12288 12336 16384 16448 24576 24672 32768 32896 49152 49344 65536 65792 98304 98688 131072 131584 196608 197376 262144 263168 393216 394752 524288 526336 786432 789504 1048576 1052672 1572864 1579008 2097152 2105344 3145728 3158016 4194304 4210688 6291456 6316032 8421376 12582912 12632064 16842752 25264128 33685504 50528256 67371008 101056512 134742016 202113024 269484032 404226048 538968064 808452096 1077936128 1616904192 3233808384