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34142420 = 22513131317
BaseRepresentation
bin1000001000111…
…1100011010100
32101020121121002
42002033203110
532220024140
63215442432
7563130404
oct202174324
971217532
1034142420
11182aa784
12b526418
1370c5620
14476a804
152ee6415
hex208f8d4

34142420 has 24 divisors (see below), whose sum is σ = 77214984. Its totient is φ = 12606336.

The previous prime is 34142417. The next prime is 34142461. The reversal of 34142420 is 2424143.

It can be written as a sum of positive squares in 4 ways, for example, as 13456 + 34128964 = 116^2 + 5842^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 34142392 and 34142401.

It is a congruent number.

It is an unprimeable number.

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, 65399 + ... + 65918.

It is an arithmetic number, because the mean of its divisors is an integer number (3217291).

Almost surely, 234142420 is an apocalyptic number.

It is an amenable number.

34142420 is an abundant number, since it is smaller than the sum of its proper divisors (43072564).

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

34142420 is a wasteful number, since it uses less digits than its factorization.

34142420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131339 (or 131337 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 34142420 is about 5843.1515468966. The cubic root of 34142420 is about 324.4128887424.

Adding to 34142420 its reverse (2424143), we get a palindrome (36566563).

The spelling of 34142420 in words is "thirty-four million, one hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 131317 262634 525268 656585 1313170 1707121 2626340 3414242 6828484 8535605 17071210 34142420