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34013005 = 5131730781
BaseRepresentation
bin1000000110111…
…1111101001101
32101000001001221
42001233331031
532201404010
63213003341
7562051165
oct201577515
971001057
1034013005
1118221524
12b483551
13707b750
1447355a5
152ebcdda
hex206ff4d

34013005 has 16 divisors (see below), whose sum is σ = 46542384. Its totient is φ = 23639040.

The previous prime is 34013003. The next prime is 34013029. The reversal of 34013005 is 50031043.

It can be written as a sum of positive squares in 8 ways, for example, as 2439844 + 31573161 = 1562^2 + 5619^2 .

It is not a de Polignac number, because 34013005 - 21 = 34013003 is a prime.

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 34013005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34013003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14286 + ... + 16495.

It is an arithmetic number, because the mean of its divisors is an integer number (2908899).

Almost surely, 234013005 is an apocalyptic number.

It is an amenable number.

34013005 is a deficient number, since it is larger than the sum of its proper divisors (12529379).

34013005 is a wasteful number, since it uses less digits than its factorization.

34013005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30816.

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 34013005 is about 5832.0669577775. The cubic root of 34013005 is about 324.0024799129.

Adding to 34013005 its reverse (50031043), we get a palindrome (84044048).

The spelling of 34013005 in words is "thirty-four million, thirteen thousand, five".

Divisors: 1 5 13 17 65 85 221 1105 30781 153905 400153 523277 2000765 2616385 6802601 34013005