Search a number
-
+
4210240034 = 2721113300431
BaseRepresentation
bin1111101011110011…
…0010101000100010
3101212102022100120002
43322330302220202
532110310140114
61533440020002
7206222310200
oct37274625042
911772270502
104210240034
111870630720
12996001602
135213528c0
142bd240070
151999537de
hexfaf32a22

4210240034 has 48 divisors (see below), whose sum is σ = 8630810496. Its totient is φ = 1514167200.

The previous prime is 4210240031. The next prime is 4210240063. The reversal of 4210240034 is 4300420124.

It is a super-2 number, since 2×42102400342 = 35452242287792642312, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4210239988 and 4210240015.

It is not an unprimeable number, because it can be changed into a prime (4210240031) 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 23 ways as a sum of consecutive naturals, for example, 136202 + ... + 164229.

It is an arithmetic number, because the mean of its divisors is an integer number (179808552).

Almost surely, 24210240034 is an apocalyptic number.

4210240034 is an abundant number, since it is smaller than the sum of its proper divisors (4420570462).

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

4210240034 is a wasteful number, since it uses less digits than its factorization.

4210240034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300471 (or 300464 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 4210240034 is about 64886.3624654673. The cubic root of 4210240034 is about 1614.7388170766.

Adding to 4210240034 its reverse (4300420124), we get a palindrome (8510660158).

The spelling of 4210240034 in words is "four billion, two hundred ten million, two hundred forty thousand, thirty-four".

Divisors: 1 2 7 11 13 14 22 26 49 77 91 98 143 154 182 286 539 637 1001 1078 1274 2002 7007 14014 300431 600862 2103017 3304741 3905603 4206034 6609482 7811206 14721119 23133187 27339221 29442238 42961633 46266374 54678442 85923266 161932309 191374547 300731431 323864618 382749094 601462862 2105120017 4210240034