Search a number
-
+
3336660720 = 2432517272603
BaseRepresentation
bin1100011011100001…
…0110011011110000
322121112111221000200
43012320112123300
523313141120340
61311032115200
7145454101551
oct30670263360
98545457020
103336660720
111462504648
12791535b00
13412379c73
14239200328
15147de5330
hexc6e166f0

3336660720 has 120 divisors (see below), whose sum is σ = 11864816496. Its totient is φ = 837433344.

The previous prime is 3336660709. The next prime is 3336660721. The reversal of 3336660720 is 270666333.

It is a happy number.

3336660720 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×33366607203 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3336660721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124062 + ... + 148541.

Almost surely, 23336660720 is an apocalyptic number.

3336660720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3336660720 is an abundant number, since it is smaller than the sum of its proper divisors (8528155776).

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

3336660720 is a wasteful number, since it uses less digits than its factorization.

3336660720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272639 (or 272630 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 36.

The square root of 3336660720 is about 57763.8357452135. The cubic root of 3336660720 is about 1494.2984624378.

The spelling of 3336660720 in words is "three billion, three hundred thirty-six million, six hundred sixty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 34 36 40 45 48 51 60 68 72 80 85 90 102 120 136 144 153 170 180 204 240 255 272 306 340 360 408 510 612 680 720 765 816 1020 1224 1360 1530 2040 2448 3060 4080 6120 12240 272603 545206 817809 1090412 1363015 1635618 2180824 2453427 2726030 3271236 4089045 4361648 4634251 4906854 5452060 6542472 8178090 9268502 9813708 10904120 12267135 13084944 13902753 16356180 18537004 19627416 21808240 23171255 24534270 27805506 32712360 37074008 39254832 41708259 46342510 49068540 55611012 65424720 69513765 74148016 83416518 92685020 98137080 111222024 139027530 166833036 185370040 196274160 208541295 222444048 278055060 333666072 370740080 417082590 556110120 667332144 834165180 1112220240 1668330360 3336660720