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34213095 = 3257176389
BaseRepresentation
bin1000001010000…
…0110011100111
32101101012112200
42002200303213
532224304340
63221145543
7563543430
oct202406347
971335480
1034213095
1118348894
12b55b2b3
13711b847
144788487
15300c330
hex20a0ce7

34213095 has 48 divisors (see below), whose sum is σ = 71772480. Its totient is φ = 14717952.

The previous prime is 34213093. The next prime is 34213099. The reversal of 34213095 is 59031243.

It is not a de Polignac number, because 34213095 - 21 = 34213093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34213093) 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 47 ways as a sum of consecutive naturals, for example, 2161 + ... + 8549.

It is an arithmetic number, because the mean of its divisors is an integer number (1495260).

Almost surely, 234213095 is an apocalyptic number.

34213095 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

34213095 is an abundant number, since it is smaller than the sum of its proper divisors (37559385).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34213095 is a wasteful number, since it uses less digits than its factorization.

34213095 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6424 (or 6421 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 34213095 is about 5849.1960986105. The cubic root of 34213095 is about 324.6365799628.

It can be divided in two parts, 342130 and 95, that added together give a square (342225 = 5852).

The spelling of 34213095 in words is "thirty-four million, two hundred thirteen thousand, ninety-five".

Divisors: 1 3 5 7 9 15 17 21 35 45 51 63 85 105 119 153 255 315 357 595 765 1071 1785 5355 6389 19167 31945 44723 57501 95835 108613 134169 223615 287505 325839 402507 543065 670845 760291 977517 1629195 2012535 2280873 3801455 4887585 6842619 11404365 34213095