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34142136 = 2337203227
BaseRepresentation
bin1000001000111…
…1011110111000
32101020121012120
42002033132320
532220022021
63215441240
7563126520
oct202173670
971217176
1034142136
11182aa546
12b526220
1370c5462
14476a680
152ee62c6
hex208f7b8

34142136 has 32 divisors (see below), whose sum is σ = 97549440. Its totient is φ = 9754848.

The previous prime is 34142117. The next prime is 34142149. The reversal of 34142136 is 63124143.

34142136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 101446 + ... + 101781.

It is an arithmetic number, because the mean of its divisors is an integer number (3048420).

Almost surely, 234142136 is an apocalyptic number.

It is an amenable number.

34142136 is an abundant number, since it is smaller than the sum of its proper divisors (63407304).

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

34142136 is a wasteful number, since it uses less digits than its factorization.

34142136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203243 (or 203239 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 34142136 is about 5843.1272448921. The cubic root of 34142136 is about 324.4119892405.

Adding to 34142136 its reverse (63124143), we get a palindrome (97266279).

The spelling of 34142136 in words is "thirty-four million, one hundred forty-two thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 203227 406454 609681 812908 1219362 1422589 1625816 2438724 2845178 4267767 4877448 5690356 8535534 11380712 17071068 34142136