Search a number
-
+
3301300224 = 21132179107
BaseRepresentation
bin1100010011000101…
…1101100000000000
322112001222102112200
43010301131200000
523230113101344
61303330153200
7144544405665
oct30461354000
98461872480
103301300224
1114445527a2
12781722800
13407c490b1
14234637a6c
15144c5d069
hexc4c5d800

3301300224 has 72 divisors (see below), whose sum is σ = 9534814380. Its totient is φ = 1100427264.

The previous prime is 3301300213. The next prime is 3301300253. The reversal of 3301300224 is 4220031033.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3301300197 and 3301300206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 71122 + ... + 107985.

Almost surely, 23301300224 is an apocalyptic number.

It is an amenable number.

3301300224 is an abundant number, since it is smaller than the sum of its proper divisors (6233514156).

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

3301300224 is a wasteful number, since it uses less digits than its factorization.

3301300224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179135 (or 179112 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3301300224 is about 57456.9423481619. The cubic root of 3301300224 is about 1489.0010606841.

Adding to 3301300224 its reverse (4220031033), we get a palindrome (7521331257).

The spelling of 3301300224 in words is "three billion, three hundred one million, three hundred thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4608 6144 9216 18432 179107 358214 537321 716428 1074642 1432856 1611963 2149284 2865712 3223926 4298568 5731424 6447852 8597136 11462848 12895704 17194272 22925696 25791408 34388544 45851392 51582816 68777088 91702784 103165632 137554176 183405568 206331264 275108352 366811136 412662528 550216704 825325056 1100433408 1650650112 3301300224