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42034005 = 3351343557
BaseRepresentation
bin1010000001011…
…0001101010101
32221002112211000
42200112031111
541230042010
64100533513
71020166056
oct240261525
987075730
1042034005
11217aa852
12120b1299
1389295c0
14582272d
153a547c0
hex2816355

42034005 has 64 divisors (see below), whose sum is σ = 82494720. Its totient is φ = 20176128.

The previous prime is 42034001. The next prime is 42034007. The reversal of 42034005 is 50043024.

It is a happy number.

It is not a de Polignac number, because 42034005 - 22 = 42034001 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42034001) 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 63 ways as a sum of consecutive naturals, for example, 75187 + ... + 75743.

It is an arithmetic number, because the mean of its divisors is an integer number (1288980).

Almost surely, 242034005 is an apocalyptic number.

42034005 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42034005 is a deficient number, since it is larger than the sum of its proper divisors (40460715).

42034005 is a wasteful number, since it uses less digits than its factorization.

42034005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 42034005 is about 6483.3637102973. The cubic root of 42034005 is about 347.6964505203.

Adding to 42034005 its reverse (50043024), we get a palindrome (92077029).

The spelling of 42034005 in words is "forty-two million, thirty-four thousand, five".

Divisors: 1 3 5 9 13 15 27 39 43 45 65 117 129 135 195 215 351 387 557 559 585 645 1161 1671 1677 1755 1935 2785 2795 5013 5031 5805 7241 8355 8385 15039 15093 21723 23951 25065 25155 36205 65169 71853 75195 75465 108615 119755 195507 215559 311363 325845 359265 646677 934089 977535 1077795 1556815 2802267 3233385 4670445 8406801 14011335 42034005