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34134032 = 2419472389
BaseRepresentation
bin1000001000110…
…1100000010000
32101020012002102
42002031200100
532214242112
63215335532
7563064062
oct202154020
971205072
1034134032
11182a4449
12b5215a8
1370c186a
144767732
152ee3bc2
hex208d810

34134032 has 40 divisors (see below), whose sum is σ = 71126400. Its totient is φ = 15818112.

The previous prime is 34133989. The next prime is 34134059. The reversal of 34134032 is 23043143.

It is a junction number, because it is equal to n+sod(n) for n = 34133995 and 34134013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13094 + ... + 15482.

It is an arithmetic number, because the mean of its divisors is an integer number (1778160).

Almost surely, 234134032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34134032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35563200).

34134032 is an abundant number, since it is smaller than the sum of its proper divisors (36992368).

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

34134032 is a wasteful number, since it uses less digits than its factorization.

34134032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2463 (or 2457 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 34134032 is about 5842.4337394617. The cubic root of 34134032 is about 324.3863196612.

Adding to 34134032 its reverse (23043143), we get a palindrome (57177175).

The spelling of 34134032 in words is "thirty-four million, one hundred thirty-four thousand, thirty-two".

Divisors: 1 2 4 8 16 19 38 47 76 94 152 188 304 376 752 893 1786 2389 3572 4778 7144 9556 14288 19112 38224 45391 90782 112283 181564 224566 363128 449132 726256 898264 1796528 2133377 4266754 8533508 17067016 34134032