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34982325 = 32527219167
BaseRepresentation
bin1000010101110…
…0100110110101
32102211021201200
42011130212311
532423413300
63245443113
7603226200
oct205344665
972737650
1034982325
1118823814
12b870499
13732aa01
144908937
153110200
hex215c9b5

34982325 has 108 divisors (see below), whose sum is σ = 77182560. Its totient is φ = 15059520.

The previous prime is 34982303. The next prime is 34982327. The reversal of 34982325 is 52328943.

34982325 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 34982325 - 25 = 34982293 is a prime.

Its product of digits (51840) is a multiple of the sum of its prime factors (216).

It is a self number, because there is not a number n which added to its sum of digits gives 34982325.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34982327) 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 107 ways as a sum of consecutive naturals, for example, 209392 + ... + 209558.

Almost surely, 234982325 is an apocalyptic number.

34982325 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34982325 is an abundant number, since it is smaller than the sum of its proper divisors (42200235).

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

34982325 is a wasteful number, since it uses less digits than its factorization.

34982325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 201 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 34982325 is about 5914.5857843132. The cubic root of 34982325 is about 327.0515587978.

The spelling of 34982325 in words is "thirty-four million, nine hundred eighty-two thousand, three hundred twenty-five".

Divisors: 1 3 5 7 9 15 19 21 25 35 45 49 57 63 75 95 105 133 147 167 171 175 225 245 285 315 399 441 475 501 525 665 735 835 855 931 1169 1197 1225 1425 1503 1575 1995 2205 2505 2793 3173 3325 3507 3675 4175 4275 4655 5845 5985 7515 8183 8379 9519 9975 10521 11025 12525 13965 15865 17535 22211 23275 24549 28557 29225 29925 37575 40915 41895 47595 52605 66633 69825 73647 79325 87675 111055 122745 142785 155477 199899 204575 209475 237975 263025 333165 368235 466431 555275 613725 713925 777385 999495 1399293 1665825 1841175 2332155 3886925 4997475 6996465 11660775 34982325