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34125003 = 3311891291
BaseRepresentation
bin1000001000101…
…1010011001011
32101012201201000
42002023103023
532214000003
63215230043
7563025543
oct202132313
971181630
1034125003
1118298690
12b518323
1370ba713
144764323
152ee11a3
hex208b4cb

34125003 has 32 divisors (see below), whose sum is σ = 55814400. Its totient is φ = 20433600.

The previous prime is 34124977. The next prime is 34125053. The reversal of 34125003 is 30052143.

It is not a de Polignac number, because 34125003 - 28 = 34124747 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34125053) 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, 25788 + ... + 27078.

It is an arithmetic number, because the mean of its divisors is an integer number (1744200).

Almost surely, 234125003 is an apocalyptic number.

34125003 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34125003 is a deficient number, since it is larger than the sum of its proper divisors (21689397).

34125003 is a wasteful number, since it uses less digits than its factorization.

34125003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1400 (or 1394 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 34125003 is about 5841.6609795503. The cubic root of 34125003 is about 324.3577153408.

Adding to 34125003 its reverse (30052143), we get a palindrome (64177146).

The spelling of 34125003 in words is "thirty-four million, one hundred twenty-five thousand, three".

Divisors: 1 3 9 11 27 33 89 99 267 297 801 979 1291 2403 2937 3873 8811 11619 14201 26433 34857 42603 114899 127809 344697 383427 1034091 1263889 3102273 3791667 11375001 34125003