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34242123 = 3191813319
BaseRepresentation
bin1000001010011…
…1111001001011
32101102200100210
42002213321023
532231221443
63221532203
7564024156
oct202477113
971380323
1034242123
1118368683
12b574063
13712bb16
144794c9d
153015c33
hex20a7e4b

34242123 has 16 divisors (see below), whose sum is σ = 48339200. Its totient is φ = 21500640.

The previous prime is 34242113. The next prime is 34242133. The reversal of 34242123 is 32124243.

34242123 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (34242113) and next prime (34242133).

It is not a de Polignac number, because 34242123 - 212 = 34238027 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 34242123.

It is not an unprimeable number, because it can be changed into a prime (34242113) 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, 8658 + ... + 11976.

It is an arithmetic number, because the mean of its divisors is an integer number (3021200).

Almost surely, 234242123 is an apocalyptic number.

34242123 is a deficient number, since it is larger than the sum of its proper divisors (14097077).

34242123 is a wasteful number, since it uses less digits than its factorization.

34242123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3522.

The product of its digits is 1152, while the sum is 21.

The square root of 34242123 is about 5851.6769391346. The cubic root of 34242123 is about 324.7283663268.

Adding to 34242123 its reverse (32124243), we get a palindrome (66366366).

The spelling of 34242123 in words is "thirty-four million, two hundred forty-two thousand, one hundred twenty-three".

Divisors: 1 3 19 57 181 543 3319 3439 9957 10317 63061 189183 600739 1802217 11414041 34242123