Search a number
-
+
3388308672 = 26372521063
BaseRepresentation
bin1100100111110101…
…0111110011000000
322202010200220200210
43021331113303000
523414401334142
61320115114120
7146652101640
oct31175276300
98663626623
103388308672
111489680501
127a68a2940
1341cc91498
14242006520
1514c6e849c
hexc9f57cc0

3388308672 has 56 divisors (see below), whose sum is σ = 10245604096. Its totient is φ = 968087808.

The previous prime is 3388308659. The next prime is 3388308673. The reversal of 3388308672 is 2768038833.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×33883086722 = 22961271313500807168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (3388308673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1259188 + ... + 1261875.

It is an arithmetic number, because the mean of its divisors is an integer number (182957216).

Almost surely, 23388308672 is an apocalyptic number.

3388308672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3388308672 is an abundant number, since it is smaller than the sum of its proper divisors (6857295424).

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

3388308672 is a wasteful number, since it uses less digits than its factorization.

3388308672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2521085 (or 2521075 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The square root of 3388308672 is about 58209.1803068897. The cubic root of 3388308672 is about 1501.9690691578.

The spelling of 3388308672 in words is "three billion, three hundred eighty-eight million, three hundred eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 2521063 5042126 7563189 10084252 15126378 17647441 20168504 30252756 35294882 40337008 52942323 60505512 70589764 80674016 105884646 121011024 141179528 161348032 211769292 242022048 282359056 423538584 484044096 564718112 847077168 1129436224 1694154336 3388308672