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34135940 = 2251706797
BaseRepresentation
bin1000001000110…
…1111110000100
32101020021201002
42002031332010
532214322230
63215352432
7563102456
oct202157604
971207632
1034135940
11182a5923
12b522718
1370c26a7
1447682d6
152ee4545
hex208df84

34135940 has 12 divisors (see below), whose sum is σ = 71685516. Its totient is φ = 13654368.

The previous prime is 34135939. The next prime is 34135967. The reversal of 34135940 is 4953143.

It can be written as a sum of positive squares in 2 ways, for example, as 16630084 + 17505856 = 4078^2 + 4184^2 .

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 3 ways as a sum of consecutive naturals, for example, 853379 + ... + 853418.

It is an arithmetic number, because the mean of its divisors is an integer number (5973793).

Almost surely, 234135940 is an apocalyptic number.

It is an amenable number.

34135940 is an abundant number, since it is smaller than the sum of its proper divisors (37549576).

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

34135940 is a wasteful number, since it uses less digits than its factorization.

34135940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1706806 (or 1706804 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 34135940 is about 5842.5970252962. The cubic root of 34135940 is about 324.3923636544.

The spelling of 34135940 in words is "thirty-four million, one hundred thirty-five thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 1706797 3413594 6827188 8533985 17067970 34135940