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34285311 = 3217331677
BaseRepresentation
bin1000001011001…
…0011011111111
32101111212121100
42002302123333
532234112221
63222504143
7564264114
oct202623377
971455540
1034285311
1118398075
12b595053
137145688
1447a690b
153023926
hex20b26ff

34285311 has 24 divisors (see below), whose sum is σ = 52672464. Its totient is φ = 21415680.

The previous prime is 34285309. The next prime is 34285327. The reversal of 34285311 is 11358243.

It is a happy number.

34285311 is a `hidden beast` number, since 342 + 8 + 5 + 311 = 666.

It is not a de Polignac number, because 34285311 - 21 = 34285309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34285331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50305 + ... + 50981.

It is an arithmetic number, because the mean of its divisors is an integer number (2194686).

Almost surely, 234285311 is an apocalyptic number.

34285311 is a deficient number, since it is larger than the sum of its proper divisors (18387153).

34285311 is a wasteful number, since it uses less digits than its factorization.

34285311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031 (or 1028 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 34285311 is about 5855.3660005161. The cubic root of 34285311 is about 324.8648305750.

It can be divided in two parts, 34285 and 311, that added together give a square (34596 = 1862).

The spelling of 34285311 in words is "thirty-four million, two hundred eighty-five thousand, three hundred eleven".

Divisors: 1 3 9 17 51 153 331 677 993 2031 2979 5627 6093 11509 16881 34527 50643 103581 224087 672261 2016783 3809479 11428437 34285311