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34754445743 = 312115313323
BaseRepresentation
bin100000010111100001…
…101100000110101111
310022201002121202211012
4200113201230012233
51032134114230433
623544352215435
72340150625463
oct402741540657
9108632552735
1034754445743
1113814a84536
12689b23a57b
13337b3a99c4
141979a6a4a3
15d86228848
hex81786c1af

34754445743 has 8 divisors (see below), whose sum is σ = 36045590016. Its totient is φ = 33473928600.

The previous prime is 34754445667. The next prime is 34754445763.

34754445743 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 34754445743 - 28 = 34754445487 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34754445691 and 34754445700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34754445763) 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 7 ways as a sum of consecutive naturals, for example, 2650121 + ... + 2663202.

It is an arithmetic number, because the mean of its divisors is an integer number (4505698752).

Almost surely, 234754445743 is an apocalyptic number.

34754445743 is a deficient number, since it is larger than the sum of its proper divisors (1291144273).

34754445743 is a wasteful number, since it uses less digits than its factorization.

34754445743 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5313565.

The product of its digits is 11289600, while the sum is 50.

The spelling of 34754445743 in words is "thirty-four billion, seven hundred fifty-four million, four hundred forty-five thousand, seven hundred forty-three".

Divisors: 1 31 211 6541 5313323 164713013 1121111153 34754445743