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34257700 = 22522911813
BaseRepresentation
bin1000001010101…
…1101100100100
32101110110201201
42002223230210
532232221300
63222132244
7564120451
oct202535444
971413651
1034257700
1118379354
12b581084
137135c39
14479a828
15301a66a
hex20abb24

34257700 has 36 divisors (see below), whose sum is σ = 76909140. Its totient is φ = 13229440.

The previous prime is 34257667. The next prime is 34257721. The reversal of 34257700 is 775243.

It can be written as a sum of positive squares in 6 ways, for example, as 1149184 + 33108516 = 1072^2 + 5754^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 3007 + ... + 8806.

It is an arithmetic number, because the mean of its divisors is an integer number (2136365).

Almost surely, 234257700 is an apocalyptic number.

It is an amenable number.

34257700 is an abundant number, since it is smaller than the sum of its proper divisors (42651440).

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

34257700 is a wasteful number, since it uses less digits than its factorization.

34257700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11856 (or 11849 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 28.

The square root of 34257700 is about 5853.0077737861. The cubic root of 34257700 is about 324.7775993230. Note that the first 3 decimals are identical.

The spelling of 34257700 in words is "thirty-four million, two hundred fifty-seven thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 11813 23626 47252 59065 118130 236260 295325 342577 590650 685154 1181300 1370308 1712885 3425770 6851540 8564425 17128850 34257700