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34743234743 = 725313378219
BaseRepresentation
bin100000010110110110…
…111011000010110111
310022200022112012012222
4200112312323002313
51032123232002433
623543312032555
72336653423400
oct402666730267
9108608465188
1034743234743
1113809717548
12689753275b
133378c82b89
14197838c9a7
15d85261b98
hex816dbb0b7

34743234743 has 12 divisors (see below), whose sum is σ = 41178161160. Its totient is φ = 29218028112.

The previous prime is 34743234739. The next prime is 34743234751.

34743234743 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34743234743 - 22 = 34743234739 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34743234694 and 34743234703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34743234793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6686513 + ... + 6691706.

It is an arithmetic number, because the mean of its divisors is an integer number (3431513430).

Almost surely, 234743234743 is an apocalyptic number.

34743234743 is a deficient number, since it is larger than the sum of its proper divisors (6434926417).

34743234743 is a wasteful number, since it uses less digits than its factorization.

34743234743 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13378286 (or 13378279 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 44.

The spelling of 34743234743 in words is "thirty-four billion, seven hundred forty-three million, two hundred thirty-four thousand, seven hundred forty-three".

Divisors: 1 7 49 53 371 2597 13378219 93647533 655532731 709045607 4963319249 34743234743