Search a number
-
+
3023303120 = 2451714831499
BaseRepresentation
bin1011010000110011…
…1111000111010000
321210200212201012122
42310030333013100
522142431144440
61215555513412
7134630436545
oct26414770720
97720781178
103023303120
111311637422
127045b8868
13392483276
14209750bcc
1512a6487b5
hexb433f1d0

3023303120 has 80 divisors (see below), whose sum is σ = 7452648000. Its totient is φ = 1136658432.

The previous prime is 3023303093. The next prime is 3023303147. The reversal of 3023303120 is 213033203.

3023303120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3023303093) and next prime (3023303147).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2016131 + ... + 2017629.

It is an arithmetic number, because the mean of its divisors is an integer number (93158100).

Almost surely, 23023303120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3023303120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3726324000).

3023303120 is an abundant number, since it is smaller than the sum of its proper divisors (4429344880).

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

3023303120 is a wasteful number, since it uses less digits than its factorization.

3023303120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3012 (or 3006 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 17.

The square root of 3023303120 is about 54984.5716542377. The cubic root of 3023303120 is about 1445.9742666416.

Adding to 3023303120 its reverse (213033203), we get a palindrome (3236336323).

The spelling of 3023303120 in words is "three billion, twenty-three million, three hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 1483 1499 2966 2998 5932 5996 7415 7495 11864 11992 14830 14990 23728 23984 25211 25483 29660 29980 50422 50966 59320 59960 100844 101932 118640 119920 126055 127415 201688 203864 252110 254830 403376 407728 504220 509660 1008440 1019320 2016880 2038640 2223017 4446034 8892068 11115085 17784136 22230170 35568272 37791289 44460340 75582578 88920680 151165156 177841360 188956445 302330312 377912890 604660624 755825780 1511651560 3023303120