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34138071 = 3311137839
BaseRepresentation
bin1000001000111…
…0011111010111
32101020101122000
42002032133113
532214404241
63215410343
7563111622
oct202163727
971211560
1034138071
11182a7490
12b5239b3
1370c3656
144768db9
152ee4eb6
hex208e7d7

34138071 has 32 divisors (see below), whose sum is σ = 55641600. Its totient is φ = 20514240.

The previous prime is 34138063. The next prime is 34138073. The reversal of 34138071 is 17083143.

It is not a de Polignac number, because 34138071 - 23 = 34138063 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34138073) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40270 + ... + 41108.

It is an arithmetic number, because the mean of its divisors is an integer number (1738800).

Almost surely, 234138071 is an apocalyptic number.

34138071 is a deficient number, since it is larger than the sum of its proper divisors (21503529).

34138071 is a wasteful number, since it uses less digits than its factorization.

34138071 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 34138071 is about 5842.7793899821. The cubic root of 34138071 is about 324.3991137809.

The spelling of 34138071 in words is "thirty-four million, one hundred thirty-eight thousand, seventy-one".

Divisors: 1 3 9 11 27 33 99 137 297 411 839 1233 1507 2517 3699 4521 7551 9229 13563 22653 27687 40689 83061 114943 249183 344829 1034487 1264373 3103461 3793119 11379357 34138071