Search a number
-
+
3329295216 = 2431319280811
BaseRepresentation
bin1100011001110001…
…0000001101110000
322121000122201110020
43012130100031300
523304244421331
61310210203440
7145334354022
oct30634201560
98530581406
103329295216
111459333855
1278ab83580
1341099b590
14238244012
1514743cc96
hexc6710370

3329295216 has 80 divisors (see below), whose sum is σ = 9749792640. Its totient is φ = 970479360.

The previous prime is 3329295209. The next prime is 3329295227. The reversal of 3329295216 is 6125929233.

It is a super-2 number, since 2×33292952162 = 22168413270560973312, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 128550 + ... + 152261.

It is an arithmetic number, because the mean of its divisors is an integer number (121872408).

Almost surely, 23329295216 is an apocalyptic number.

It is an amenable number.

3329295216 is an abundant number, since it is smaller than the sum of its proper divisors (6420497424).

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

3329295216 is a wasteful number, since it uses less digits than its factorization.

3329295216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280854 (or 280848 counting only the distinct ones).

The product of its digits is 174960, while the sum is 42.

The square root of 3329295216 is about 57700.0451992891. The cubic root of 3329295216 is about 1493.1981238304.

The spelling of 3329295216 in words is "three billion, three hundred twenty-nine million, two hundred ninety-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 38 39 48 52 57 76 78 104 114 152 156 208 228 247 304 312 456 494 624 741 912 988 1482 1976 2964 3952 5928 11856 280811 561622 842433 1123244 1684866 2246488 3369732 3650543 4492976 5335409 6739464 7301086 10670818 10951629 13478928 14602172 16006227 21341636 21903258 29204344 32012454 42683272 43806516 58408688 64024908 69360317 85366544 87613032 128049816 138720634 175226064 208080951 256099632 277441268 416161902 554882536 832323804 1109765072 1664647608 3329295216