Search a number
-
+
34100250128 = 247243495217
BaseRepresentation
bin11111110000100010…
…001000011000010000
310021000111122012010222
4133300202020120100
51024314131001003
623355422412212
72315015225600
oct376042103020
9107014565128
1034100250128
111350977a6aa
126738131068
1332a59b70c9
141916c16c00
15d48aa2c38
hex7f0888610

34100250128 has 30 divisors (see below), whose sum is σ = 76856050206. Its totient is φ = 14614392576.

The previous prime is 34100250127. The next prime is 34100250157. The reversal of 34100250128 is 82105200143.

It can be written as a sum of positive squares in only one way, i.e., 22515602704 + 11584647424 = 150052^2 + 107632^2 .

It is a junction number, because it is equal to n+sod(n) for n = 34100250097 and 34100250106.

It is not an unprimeable number, because it can be changed into a prime (34100250127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21746825 + ... + 21748392.

Almost surely, 234100250128 is an apocalyptic number.

It is an amenable number.

34100250128 is an abundant number, since it is smaller than the sum of its proper divisors (42755800078).

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

34100250128 is a wasteful number, since it uses less digits than its factorization.

34100250128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43495239 (or 43495226 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The spelling of 34100250128 in words is "thirty-four billion, one hundred million, two hundred fifty thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 43495217 86990434 173980868 304466519 347961736 608933038 695923472 1217866076 2131265633 2435732152 4262531266 4871464304 8525062532 17050125064 34100250128