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34040006 = 2731113347
BaseRepresentation
bin1000000111011…
…0100011000110
32101001102002222
42001312203012
532203240011
63213332342
7562223000
oct201664306
971042088
1034040006
111823a840
12b4970b2
13708ab20
144741370
152ec5ddb
hex20768c6

34040006 has 64 divisors (see below), whose sum is σ = 70156800. Its totient is φ = 12206880.

The previous prime is 34040003. The next prime is 34040009. The reversal of 34040006 is 60004043.

It is an interprime number because it is at equal distance from previous prime (34040003) and next prime (34040009).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34040003) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 97925 + ... + 98271.

It is an arithmetic number, because the mean of its divisors is an integer number (1096200).

Almost surely, 234040006 is an apocalyptic number.

34040006 is an abundant number, since it is smaller than the sum of its proper divisors (36116794).

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

34040006 is a wasteful number, since it uses less digits than its factorization.

34040006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 34040006 is about 5834.3813725193. The cubic root of 34040006 is about 324.0881929809.

Adding to 34040006 its reverse (60004043), we get a palindrome (94044049).

The spelling of 34040006 in words is "thirty-four million, forty thousand, six", and thus it is an eban number.

Divisors: 1 2 7 11 13 14 22 26 49 77 91 98 143 154 182 286 343 347 539 637 686 694 1001 1078 1274 2002 2429 3773 3817 4459 4511 4858 7007 7546 7634 8918 9022 14014 17003 26719 31577 34006 49049 49621 53438 63154 98098 99242 119021 187033 221039 238042 347347 374066 442078 694694 1309231 1547273 2431429 2618462 3094546 4862858 17020003 34040006