Search a number
-
+
34204107 = 372232681
BaseRepresentation
bin1000001001111…
…0100111001011
32101100202012210
42002132213023
532224012412
63221040203
7563505300
oct202364713
971322183
1034204107
1118342063
12b556063
137117722
1447850a7
15300983c
hex209e9cb

34204107 has 12 divisors (see below), whose sum is σ = 53051496. Its totient is φ = 19545120.

The previous prime is 34204099. The next prime is 34204111. The reversal of 34204107 is 70140243.

34204107 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 34204107 - 23 = 34204099 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (34204117) 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 11 ways as a sum of consecutive naturals, for example, 116194 + ... + 116487.

It is an arithmetic number, because the mean of its divisors is an integer number (4420958).

Almost surely, 234204107 is an apocalyptic number.

34204107 is a deficient number, since it is larger than the sum of its proper divisors (18847389).

34204107 is a wasteful number, since it uses less digits than its factorization.

34204107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232698 (or 232691 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 34204107 is about 5848.4277374351. The cubic root of 34204107 is about 324.6081494342.

The spelling of 34204107 in words is "thirty-four million, two hundred four thousand, one hundred seven".

Divisors: 1 3 7 21 49 147 232681 698043 1628767 4886301 11401369 34204107