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34345535401 = 1491609143261
BaseRepresentation
bin11111111111001001…
…110100011110101001
310021122121011222021201
4133333021310132221
51030314424113101
623440024004201
72324054143162
oct377711643651
9107577158251
1034345535401
1113625183101
1267a6300661
133314768818
14193b626769
15d603a4e01
hex7ff2747a9

34345535401 has 8 divisors (see below), whose sum is σ = 34597773000. Its totient is φ = 34093587840.

The previous prime is 34345535363. The next prime is 34345535417. The reversal of 34345535401 is 10453554343.

It can be written as a sum of positive squares in 4 ways, for example, as 3973411225 + 30372124176 = 63035^2 + 174276^2 .

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 34345535401 - 211 = 34345533353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34345538401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 168111 + ... + 311371.

It is an arithmetic number, because the mean of its divisors is an integer number (4324721625).

Almost surely, 234345535401 is an apocalyptic number.

It is an amenable number.

34345535401 is a deficient number, since it is larger than the sum of its proper divisors (252237599).

34345535401 is a wasteful number, since it uses less digits than its factorization.

34345535401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145019.

The product of its (nonzero) digits is 216000, while the sum is 37.

The spelling of 34345535401 in words is "thirty-four billion, three hundred forty-five million, five hundred thirty-five thousand, four hundred one".

Divisors: 1 149 1609 143261 239741 21345889 230506949 34345535401