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34131205 = 53753592
BaseRepresentation
bin1000001000110…
…0110100000101
32101020001012201
42002030310011
532214144310
63215314501
7563052613
oct202146405
971201181
1034131205
11182a2309
12b51ba31
1370c04a4
1447666b3
152ee2e3a
hex208cd05

34131205 has 24 divisors (see below), whose sum is σ = 43596792. Its totient is φ = 25623936.

The previous prime is 34131199. The next prime is 34131247. The reversal of 34131205 is 50213143.

34131205 = T1046 + T1047 + ... + T1104.

It can be written as a sum of positive squares in 4 ways, for example, as 12952801 + 21178404 = 3599^2 + 4602^2 .

It is not a de Polignac number, because 34131205 - 23 = 34131197 is a prime.

It is a Duffinian number.

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, 578466 + ... + 578524.

It is an arithmetic number, because the mean of its divisors is an integer number (1816533).

Almost surely, 234131205 is an apocalyptic number.

It is an amenable number.

34131205 is a deficient number, since it is larger than the sum of its proper divisors (9465587).

34131205 is an equidigital number, since it uses as much as digits as its factorization.

34131205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 34131205 is about 5842.1917976047. The cubic root of 34131205 is about 324.3773641273.

Adding to 34131205 its reverse (50213143), we get a palindrome (84344348).

The spelling of 34131205 in words is "thirty-four million, one hundred thirty-one thousand, two hundred five".

Divisors: 1 5 37 53 59 185 265 295 1961 2183 3127 3481 9805 10915 15635 17405 115699 128797 184493 578495 643985 922465 6826241 34131205