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34142415 = 3559173223
BaseRepresentation
bin1000001000111…
…1100011001111
32101020121120220
42002033203033
532220024130
63215442423
7563130366
oct202174317
971217526
1034142415
11182aa77a
12b526413
1370c5618
14476a7dd
152ee6410
hex208f8cf

34142415 has 32 divisors (see below), whose sum is σ = 56125440. Its totient is φ = 17717376.

The previous prime is 34142413. The next prime is 34142417. The reversal of 34142415 is 51424143.

34142415 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 (34142413) and next prime (34142417).

It is not a de Polignac number, because 34142415 - 21 = 34142413 is a prime.

It is a congruent number.

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 (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152994 + ... + 153216.

It is an arithmetic number, because the mean of its divisors is an integer number (1753920).

Almost surely, 234142415 is an apocalyptic number.

34142415 is a deficient number, since it is larger than the sum of its proper divisors (21983025).

34142415 is a wasteful number, since it uses less digits than its factorization.

34142415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463.

The product of its digits is 1920, while the sum is 24.

The square root of 34142415 is about 5843.1511190453. The cubic root of 34142415 is about 324.4128729061.

Adding to 34142415 its reverse (51424143), we get a palindrome (85566558).

The spelling of 34142415 in words is "thirty-four million, one hundred forty-two thousand, four hundred fifteen".

Divisors: 1 3 5 15 59 173 177 223 295 519 669 865 885 1115 2595 3345 10207 13157 30621 38579 39471 51035 65785 115737 153105 192895 197355 578685 2276161 6828483 11380805 34142415