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34433130 = 23519193313
BaseRepresentation
bin1000001101011…
…0100001101010
32101210101101010
42003112201222
532303330010
63230004350
7565451064
oct203264152
971711333
1034433130
1118489136
12b6466b6
137197a44
144804734
153052620
hex20d686a

34433130 has 64 divisors (see below), whose sum is σ = 87719040. Its totient is φ = 8626176.

The previous prime is 34433123. The next prime is 34433137. The reversal of 34433130 is 3133443.

It is an interprime number because it is at equal distance from previous prime (34433123) and next prime (34433137).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 34433097 and 34433106.

It is not an unprimeable number, because it can be changed into a prime (34433137) 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 31 ways as a sum of consecutive naturals, for example, 109854 + ... + 110166.

It is an arithmetic number, because the mean of its divisors is an integer number (1370610).

Almost surely, 234433130 is an apocalyptic number.

34433130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34433130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43859520).

34433130 is an abundant number, since it is smaller than the sum of its proper divisors (53285910).

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

34433130 is a wasteful number, since it uses less digits than its factorization.

34433130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535.

The product of its (nonzero) digits is 1296, while the sum is 21.

The square root of 34433130 is about 5867.9749488218. The cubic root of 34433130 is about 325.3310394203.

Adding to 34433130 its reverse (3133443), we get a palindrome (37566573).

The spelling of 34433130 in words is "thirty-four million, four hundred thirty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 193 285 313 386 570 579 626 939 965 1158 1565 1878 1930 2895 3130 3667 4695 5790 5947 7334 9390 11001 11894 17841 18335 22002 29735 35682 36670 55005 59470 60409 89205 110010 120818 178410 181227 302045 362454 604090 906135 1147771 1812270 2295542 3443313 5738855 6886626 11477710 17216565 34433130