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34135047 = 331264261
BaseRepresentation
bin1000001000110…
…1110000000111
32101020020111000
42002031300013
532214310142
63215344343
7563100042
oct202156007
971206430
1034135047
11182a5191
12b5220b3
1370c216b
144767c59
152ee414c
hex208dc07

34135047 has 8 divisors (see below), whose sum is σ = 50570480. Its totient is φ = 22756680.

The previous prime is 34135043. The next prime is 34135069. The reversal of 34135047 is 74053143.

It is not a de Polignac number, because 34135047 - 22 = 34135043 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 1264261 = 34135047 / (3 + 4 + 1 + 3 + 5 + 0 + 4 + 7).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 34135047.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34135043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 632104 + ... + 632157.

It is an arithmetic number, because the mean of its divisors is an integer number (6321310).

Almost surely, 234135047 is an apocalyptic number.

34135047 is a deficient number, since it is larger than the sum of its proper divisors (16435433).

34135047 is a wasteful number, since it uses less digits than its factorization.

34135047 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1264270 (or 1264264 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 34135047 is about 5842.5206033013. The cubic root of 34135047 is about 324.3895349162.

The spelling of 34135047 in words is "thirty-four million, one hundred thirty-five thousand, forty-seven".

Divisors: 1 3 9 27 1264261 3792783 11378349 34135047