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34442130 = 2357315727
BaseRepresentation
bin1000001101100…
…0101110010010
32101210211201110
42003120232102
532304122010
63230114150
7565516242
oct203305622
971724643
1034442130
1118494978
12b64b956
13719bb78
144807b22
153055120
hex20d8b92

34442130 has 32 divisors (see below), whose sum is σ = 83798784. Its totient is φ = 9058176.

The previous prime is 34442113. The next prime is 34442131. The reversal of 34442130 is 3124443.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 34442097 and 34442106.

It is not an unprimeable number, because it can be changed into a prime (34442131) 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 15 ways as a sum of consecutive naturals, for example, 5674 + ... + 10053.

It is an arithmetic number, because the mean of its divisors is an integer number (2618712).

Almost surely, 234442130 is an apocalyptic number.

34442130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34442130 is an abundant number, since it is smaller than the sum of its proper divisors (49356654).

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

34442130 is a wasteful number, since it uses less digits than its factorization.

34442130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15810.

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 34442130 is about 5868.7417731572. The cubic root of 34442130 is about 325.3593815459.

Adding to 34442130 its reverse (3124443), we get a palindrome (37566573).

The spelling of 34442130 in words is "thirty-four million, four hundred forty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 73 146 219 365 438 730 1095 2190 15727 31454 47181 78635 94362 157270 235905 471810 1148071 2296142 3444213 5740355 6888426 11480710 17221065 34442130