Search a number
-
+
3308064768 = 21232194723
BaseRepresentation
bin1100010100101101…
…0001000000000000
322112112201002202100
43011023101000000
523233331033033
61304131150400
7144656041461
oct30513210000
98475632670
103308064768
111448353028
12783a45400
13409477098
142354b8d68
15145647513
hexc52d1000

3308064768 has 156 divisors (see below), whose sum is σ = 10060513840. Its totient is φ = 1044430848.

The previous prime is 3308064743. The next prime is 3308064797. The reversal of 3308064768 is 8674608033.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 698055 + ... + 702777.

Almost surely, 23308064768 is an apocalyptic number.

3308064768 is a gapful number since it is divisible by the number (38) 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 3308064768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5030256920).

3308064768 is an abundant number, since it is smaller than the sum of its proper divisors (6752449072).

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

3308064768 is a wasteful number, since it uses less digits than its factorization.

3308064768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4772 (or 4747 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 3308064768 is about 57515.7784264457. The cubic root of 3308064768 is about 1490.0173815969.

The spelling of 3308064768 in words is "three billion, three hundred eight million, sixty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 256 288 304 342 384 456 512 576 608 684 768 912 1024 1152 1216 1368 1536 1824 2048 2304 2432 2736 3072 3648 4096 4608 4723 4864 5472 6144 7296 9216 9446 9728 10944 12288 14169 14592 18432 18892 19456 21888 28338 29184 36864 37784 38912 42507 43776 56676 58368 75568 77824 85014 87552 89737 113352 116736 151136 170028 175104 179474 226704 233472 269211 302272 340056 350208 358948 453408 538422 604544 680112 700416 717896 807633 906816 1076844 1209088 1360224 1435792 1615266 1813632 2153688 2418176 2720448 2871584 3230532 3627264 4307376 4836352 5440896 5743168 6461064 7254528 8614752 9672704 10881792 11486336 12922128 14509056 17229504 19345408 21763584 22972672 25844256 29018112 34459008 43527168 45945344 51688512 58036224 68918016 87054336 91890688 103377024 137836032 174108672 183781376 206754048 275672064 367562752 413508096 551344128 827016192 1102688256 1654032384 3308064768