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35305140 = 22351345263
BaseRepresentation
bin1000011010101…
…1011010110100
32110102200112210
42012223122310
533014231030
63300413420
7606042303
oct206533264
973380483
1035305140
1118a24302
12b9a7270
137411920
14499043a
153175bb0
hex21ab6b4

35305140 has 48 divisors (see below), whose sum is σ = 106460928. Its totient is φ = 8690304.

The previous prime is 35305133. The next prime is 35305157. The reversal of 35305140 is 4150353.

35305140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 21852 + ... + 23411.

It is an arithmetic number, because the mean of its divisors is an integer number (2217936).

Almost surely, 235305140 is an apocalyptic number.

35305140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

35305140 is an abundant number, since it is smaller than the sum of its proper divisors (71155788).

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

35305140 is a wasteful number, since it uses less digits than its factorization.

35305140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45288 (or 45286 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 35305140 is about 5941.8128546766. The cubic root of 35305140 is about 328.0544848018.

Adding to 35305140 its reverse (4150353), we get a palindrome (39455493).

The spelling of 35305140 in words is "thirty-five million, three hundred five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 45263 90526 135789 181052 226315 271578 452630 543156 588419 678945 905260 1176838 1357890 1765257 2353676 2715780 2942095 3530514 5884190 7061028 8826285 11768380 17652570 35305140