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34142418 = 233632267
BaseRepresentation
bin1000001000111…
…1100011010010
32101020121121000
42002033203102
532220024133
63215442430
7563130402
oct202174322
971217530
1034142418
11182aa782
12b526416
1370c561b
14476a802
152ee6413
hex208f8d2

34142418 has 16 divisors (see below), whose sum is σ = 75872160. Its totient is φ = 11380788.

The previous prime is 34142417. The next prime is 34142461. The reversal of 34142418 is 81424143.

34142418 is a `hidden beast` number, since 3 + 414 + 241 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 34142391 and 34142400.

It is not an unprimeable number, because it can be changed into a prime (34142413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 316080 + ... + 316187.

It is an arithmetic number, because the mean of its divisors is an integer number (4742010).

Almost surely, 234142418 is an apocalyptic number.

34142418 is an abundant number, since it is smaller than the sum of its proper divisors (41729742).

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

34142418 is a wasteful number, since it uses less digits than its factorization.

34142418 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632278 (or 632272 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 34142418 is about 5843.1513757561. The cubic root of 34142418 is about 324.4128824079.

It can be divided in two parts, 3414 and 2418, that added together give a cube (5832 = 183).

The spelling of 34142418 in words is "thirty-four million, one hundred forty-two thousand, four hundred eighteen".

Divisors: 1 2 3 6 9 18 27 54 632267 1264534 1896801 3793602 5690403 11380806 17071209 34142418