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34003780743 = 331811450841
BaseRepresentation
bin11111101010110010…
…001000010010000111
310020202210010001000210
4133222302020102013
51024114431440433
623342055010503
72312434240002
oct375262102207
9106683101023
1034003780743
111346a27a839
12670b969a33
13328ba0b62a
1419080a4539
15d40399463
hex7eac88487

34003780743 has 16 divisors (see below), whose sum is σ = 46858714112. Its totient is φ = 21910824000.

The previous prime is 34003780739. The next prime is 34003780747. The reversal of 34003780743 is 34708730043.

It is an interprime number because it is at equal distance from previous prime (34003780739) and next prime (34003780747).

It is not a de Polignac number, because 34003780743 - 22 = 34003780739 is a prime.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34003780747) 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 15 ways as a sum of consecutive naturals, for example, 149998 + ... + 300843.

It is an arithmetic number, because the mean of its divisors is an integer number (2928669632).

Almost surely, 234003780743 is an apocalyptic number.

34003780743 is a deficient number, since it is larger than the sum of its proper divisors (12854933369).

34003780743 is a wasteful number, since it uses less digits than its factorization.

34003780743 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451686.

The product of its (nonzero) digits is 169344, while the sum is 39.

The spelling of 34003780743 in words is "thirty-four billion, three million, seven hundred eighty thousand, seven hundred forty-three".

Divisors: 1 3 31 93 811 2433 25141 75423 450841 1352523 13976071 41928213 365632051 1096896153 11334593581 34003780743