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34004424213 = 331259423119
BaseRepresentation
bin11111101010110100…
…100101011000010101
310020202211022201201000
4133222310211120111
51024120113033323
623342120453513
72312442560004
oct375264453025
9106684281630
1034004424213
111346a67a231
12671001a299
13328bba5496
1419081d0c3b
15d40474e43
hex7ead25615

34004424213 has 8 divisors (see below), whose sum is σ = 50376924800. Its totient is φ = 22669616124.

The previous prime is 34004424169. The next prime is 34004424343. The reversal of 34004424213 is 31242440043.

It is a happy number.

34004424213 is a `hidden beast` number, since 3 + 4 + 0 + 0 + 442 + 4 + 213 = 666.

It is not a de Polignac number, because 34004424213 - 26 = 34004424149 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 1259423119 = 34004424213 / (3 + 4 + 0 + 0 + 4 + 4 + 2 + 4 + 2 + 1 + 3).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34004429213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 629711533 + ... + 629711586.

It is an arithmetic number, because the mean of its divisors is an integer number (6297115600).

Almost surely, 234004424213 is an apocalyptic number.

It is an amenable number.

34004424213 is a deficient number, since it is larger than the sum of its proper divisors (16372500587).

34004424213 is a wasteful number, since it uses less digits than its factorization.

34004424213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259423128 (or 1259423122 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 34004424213 its reverse (31242440043), we get a palindrome (65246864256).

The spelling of 34004424213 in words is "thirty-four billion, four million, four hundred twenty-four thousand, two hundred thirteen".

Divisors: 1 3 9 27 1259423119 3778269357 11334808071 34004424213