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34066733345 = 513009523741
BaseRepresentation
bin11111101110100010…
…010001100100100001
310020221011120100202122
4133232202101210201
51024232040431340
623352224154025
72314130312201
oct375642214441
9106834510678
1034066733345
11134a1867a87
126728a68915
13329ba804a8
1419125b0401
15d45b81db5
hex7ee891921

34066733345 has 8 divisors (see below), whose sum is σ = 40883300520. Its totient is φ = 27251239680.

The previous prime is 34066733341. The next prime is 34066733353. The reversal of 34066733345 is 54333766043.

It can be written as a sum of positive squares in 4 ways, for example, as 894667921 + 33172065424 = 29911^2 + 182132^2 .

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

It is not a de Polignac number, because 34066733345 - 22 = 34066733341 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34066733296 and 34066733305.

It is not an unprimeable number, because it can be changed into a prime (34066733341) 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, 196826 + ... + 326915.

It is an arithmetic number, because the mean of its divisors is an integer number (5110412565).

Almost surely, 234066733345 is an apocalyptic number.

It is an amenable number.

34066733345 is a deficient number, since it is larger than the sum of its proper divisors (6816567175).

34066733345 is a wasteful number, since it uses less digits than its factorization.

34066733345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536755.

The product of its (nonzero) digits is 1632960, while the sum is 44.

The spelling of 34066733345 in words is "thirty-four billion, sixty-six million, seven hundred thirty-three thousand, three hundred forty-five".

Divisors: 1 5 13009 65045 523741 2618705 6813346669 34066733345