Search a number
-
+
34021040301 = 323780115589
BaseRepresentation
bin11111101011110011…
…111110000010101101
310020210222120220200200
4133223303332002231
51024133341242201
623343512544113
72313034033263
oct375363760255
9106728526620
1034021040301
1113478a99136
1267156b2039
1332924725a1
14190a4b8433
15d41b58386
hex7ebcfe0ad

34021040301 has 6 divisors (see below), whose sum is σ = 49141502670. Its totient is φ = 22680693528.

The previous prime is 34021040279. The next prime is 34021040321. The reversal of 34021040301 is 10304012043.

34021040301 is a `hidden beast` number, since 340 + 21 + 0 + 4 + 0 + 301 = 666.

It can be written as a sum of positive squares in only one way, i.e., 27406471401 + 6614568900 = 165549^2 + 81330^2 .

It is not a de Polignac number, because 34021040301 - 210 = 34021039277 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34021040321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1890057786 + ... + 1890057803.

It is an arithmetic number, because the mean of its divisors is an integer number (8190250445).

Almost surely, 234021040301 is an apocalyptic number.

It is an amenable number.

34021040301 is a deficient number, since it is larger than the sum of its proper divisors (15120462369).

34021040301 is a wasteful number, since it uses less digits than its factorization.

34021040301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3780115595 (or 3780115592 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 34021040301 its reverse (10304012043), we get a palindrome (44325052344).

The spelling of 34021040301 in words is "thirty-four billion, twenty-one million, forty thousand, three hundred one".

Divisors: 1 3 9 3780115589 11340346767 34021040301