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34134030 = 2325754181
BaseRepresentation
bin1000001000110…
…1100000001110
32101020012002100
42002031200032
532214242110
63215335530
7563064060
oct202154016
971205070
1034134030
11182a4447
12b5215a6
1370c1868
144767730
152ee3bc0
hex208d80e

34134030 has 48 divisors (see below), whose sum is σ = 101428704. Its totient is φ = 7801920.

The previous prime is 34133989. The next prime is 34134059. The reversal of 34134030 is 3043143.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 34133994 and 34134012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26461 + ... + 27720.

It is an arithmetic number, because the mean of its divisors is an integer number (2113098).

Almost surely, 234134030 is an apocalyptic number.

34134030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34134030 is an abundant number, since it is smaller than the sum of its proper divisors (67294674).

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

34134030 is a wasteful number, since it uses less digits than its factorization.

34134030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54201 (or 54198 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 34134030 is about 5842.4335683001. The cubic root of 34134030 is about 324.3863133257.

Adding to 34134030 its reverse (3043143), we get a palindrome (37177173).

The spelling of 34134030 in words is "thirty-four million, one hundred thirty-four thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 54181 108362 162543 270905 325086 379267 487629 541810 758534 812715 975258 1137801 1625430 1896335 2275602 2438145 3413403 3792670 4876290 5689005 6826806 11378010 17067015 34134030