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34855975 = 5271119953
BaseRepresentation
bin1000010011110…
…1110000100111
32102120212102001
42010331300213
532410342400
63243030131
7602161630
oct204756047
972525361
1034855975
11187478a0
12b80b347
1372b534b
1448b4887
1530d7a6a
hex213dc27

34855975 has 48 divisors (see below), whose sum is σ = 56782080. Its totient is φ = 20563200.

The previous prime is 34855973. The next prime is 34855979. The reversal of 34855975 is 57955843.

34855975 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 34855975 - 21 = 34855973 is a prime.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

Its product of digits (756000) is a multiple of the sum of its prime factors (1000).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34855973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36099 + ... + 37051.

It is an arithmetic number, because the mean of its divisors is an integer number (1182960).

Almost surely, 234855975 is an apocalyptic number.

34855975 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

34855975 is a deficient number, since it is larger than the sum of its proper divisors (21926105).

34855975 is a wasteful number, since it uses less digits than its factorization.

34855975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000 (or 995 counting only the distinct ones).

The product of its digits is 756000, while the sum is 46.

The square root of 34855975 is about 5903.8949008261. The cubic root of 34855975 is about 326.6573329047.

The spelling of 34855975 in words is "thirty-four million, eight hundred fifty-five thousand, nine hundred seventy-five".

Divisors: 1 5 7 11 19 25 35 55 77 95 133 175 209 275 385 475 665 953 1045 1463 1925 3325 4765 5225 6671 7315 10483 18107 23825 33355 36575 52415 73381 90535 126749 166775 199177 262075 366905 452675 633745 995885 1394239 1834525 3168725 4979425 6971195 34855975