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34239101 = 1389101293
BaseRepresentation
bin1000001010011…
…1001001111101
32101102112012212
42002213021331
532231122401
63221510205
7564012311
oct202471175
971375185
1034239101
1118366386
12b572365
13712a630
144793b41
153014dbb
hex20a727d

34239101 has 16 divisors (see below), whose sum is σ = 37784880. Its totient is φ = 30835200.

The previous prime is 34239089. The next prime is 34239109. The reversal of 34239101 is 10193243.

34239101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1452025 + 32787076 = 1205^2 + 5726^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34239101 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34239109) 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 15 ways as a sum of consecutive naturals, for example, 116711 + ... + 117003.

It is an arithmetic number, because the mean of its divisors is an integer number (2361555).

Almost surely, 234239101 is an apocalyptic number.

It is an amenable number.

34239101 is a deficient number, since it is larger than the sum of its proper divisors (3545779).

34239101 is a wasteful number, since it uses less digits than its factorization.

34239101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496.

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 34239101 is about 5851.4187168583. The cubic root of 34239101 is about 324.7188132004.

The spelling of 34239101 in words is "thirty-four million, two hundred thirty-nine thousand, one hundred one".

Divisors: 1 13 89 101 293 1157 1313 3809 8989 26077 29593 116857 339001 384709 2633777 34239101