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34135233 = 3112953673
BaseRepresentation
bin1000001000110…
…1110011000001
32101020020201220
42002031303001
532214311413
63215345253
7563100426
oct202156301
971206656
1034135233
11182a5340
12b522229
1370c2282
144767d4d
152ee4223
hex208dcc1

34135233 has 32 divisors (see below), whose sum is σ = 52410240. Its totient is φ = 19568640.

The previous prime is 34135223. The next prime is 34135237. The reversal of 34135233 is 33253143.

It is a happy number.

It is not a de Polignac number, because 34135233 - 26 = 34135169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34135237) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50385 + ... + 51057.

It is an arithmetic number, because the mean of its divisors is an integer number (1637820).

Almost surely, 234135233 is an apocalyptic number.

34135233 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

34135233 is a deficient number, since it is larger than the sum of its proper divisors (18275007).

34135233 is a wasteful number, since it uses less digits than its factorization.

34135233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769.

The product of its digits is 3240, while the sum is 24.

The square root of 34135233 is about 5842.5365210669. The cubic root of 34135233 is about 324.3901241087.

Adding to 34135233 its reverse (33253143), we get a palindrome (67388376).

It can be divided in two parts, 3413 and 5233, that added together give a triangular number (8646 = T131).

The spelling of 34135233 in words is "thirty-four million, one hundred thirty-five thousand, two hundred thirty-three".

Divisors: 1 3 11 29 33 53 87 159 319 583 673 957 1537 1749 2019 4611 7403 16907 19517 22209 35669 50721 58551 107007 214687 392359 644061 1034401 1177077 3103203 11378411 34135233