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34870905 = 345292969
BaseRepresentation
bin1000010100000…
…1011001111001
32102121121220000
42011001121321
532411332110
63243223213
7602253306
oct205013171
972547800
1034870905
1118758033
12b817b09
1372bc094
1448ba0ad
1530dc1c0
hex2141679

34870905 has 40 divisors (see below), whose sum is σ = 64686600. Its totient is φ = 17950464.

The previous prime is 34870897. The next prime is 34870919. The reversal of 34870905 is 50907843.

It can be written as a sum of positive squares in 4 ways, for example, as 13689 + 34857216 = 117^2 + 5904^2 .

It is not a de Polignac number, because 34870905 - 23 = 34870897 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34870905.

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 39 ways as a sum of consecutive naturals, for example, 10261 + ... + 13229.

It is an arithmetic number, because the mean of its divisors is an integer number (1617165).

Almost surely, 234870905 is an apocalyptic number.

It is an amenable number.

34870905 is a deficient number, since it is larger than the sum of its proper divisors (29815695).

34870905 is a wasteful number, since it uses less digits than its factorization.

34870905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3015 (or 3006 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 34870905 is about 5905.1591849839. The cubic root of 34870905 is about 326.7039657304.

It can be divided in two parts, 348 and 70905, that added together give a triangular number (71253 = T377).

The spelling of 34870905 in words is "thirty-four million, eight hundred seventy thousand, nine hundred five".

Divisors: 1 3 5 9 15 27 29 45 81 87 135 145 261 405 435 783 1305 2349 2969 3915 8907 11745 14845 26721 44535 80163 86101 133605 240489 258303 400815 430505 774909 1202445 1291515 2324727 3874545 6974181 11623635 34870905