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34740004743 = 3210138217827
BaseRepresentation
bin100000010110101010…
…100110011110000111
310022200002110002111100
4200112222212132013
51032121420122433
623543114511143
72336614111443
oct402652463607
9108602402440
1034740004743
1113807910824
1268964354b3
1333783c1932
141977b8b823
15d84d24b13
hex816aa6787

34740004743 has 12 divisors (see below), whose sum is σ = 50676839928. Its totient is φ = 22930695600.

The previous prime is 34740004729. The next prime is 34740004777.

34740004743 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34740004743 - 28 = 34740004487 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34740004698 and 34740004707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34740004843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19108005 + ... + 19109822.

It is an arithmetic number, because the mean of its divisors is an integer number (4223069994).

Almost surely, 234740004743 is an apocalyptic number.

34740004743 is a deficient number, since it is larger than the sum of its proper divisors (15936835185).

34740004743 is a wasteful number, since it uses less digits than its factorization.

34740004743 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38217934 (or 38217931 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 36.

It can be divided in two parts, 3474000 and 4743, that added together give a palindrome (3478743).

The spelling of 34740004743 in words is "thirty-four billion, seven hundred forty million, four thousand, seven hundred forty-three".

Divisors: 1 3 9 101 303 909 38217827 114653481 343960443 3860000527 11580001581 34740004743