Search a number
-
+
3001834521 = 327226092
BaseRepresentation
bin1011001011101100…
…0101110000011001
321202012110222211100
42302323011300121
522121432201041
61213511422013
7134250113100
oct26273056031
97665428740
103001834521
111300503784
126b9384909
1338aba755a
14206963037
151288076b6
hexb2ec5c19

3001834521 has 27 divisors (see below), whose sum is σ = 5045832831. Its totient is φ = 1714676544.

The previous prime is 3001834499. The next prime is 3001834547. The reversal of 3001834521 is 1254381003.

It is a happy number.

The square root of 3001834521 is 54789.

It is a perfect power (a square), and thus also a powerful number.

3001834521 is a `hidden beast` number, since 30 + 0 + 183 + 452 + 1 = 666.

3001834521 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 can be written as a sum of positive squares in only one way, i.e., 1443164121 + 1558670400 = 37989^2 + 39480^2 .

It is not a de Polignac number, because 3001834521 - 29 = 3001834009 is a prime.

It is a super-2 number, since 2×30018345212 = 18022020982934598882, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3001834321) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1149265 + ... + 1151873.

Almost surely, 23001834521 is an apocalyptic number.

3001834521 is the 54789-th square number.

3001834521 is the 27395-th centered octagonal number.

It is an amenable number.

3001834521 is a deficient number, since it is larger than the sum of its proper divisors (2043998310).

3001834521 is an frugal number, since it uses more digits than its factorization.

3001834521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5238 (or 2619 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The cubic root of 3001834521 is about 1442.5434923064.

It can be divided in two parts, 300183 and 4521, that added together give a square (304704 = 5522).

The spelling of 3001834521 in words is "three billion, one million, eight hundred thirty-four thousand, five hundred twenty-one".

Divisors: 1 3 7 9 21 49 63 147 441 2609 7827 18263 23481 54789 127841 164367 383523 1150569 6806881 20420643 47648167 61261929 142944501 333537169 428833503 1000611507 3001834521