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34228450009 = 1314917670857
BaseRepresentation
bin11111111000001011…
…001011001011011001
310021100102212102022201
4133320023023023121
51030044440400014
623420242250201
72321133011305
oct377013131331
9107312772281
1034228450009
1113575082116
126773056961
1332c6422420
141929c68d05
15d54e77e74
hex7f82cb2d9

34228450009 has 8 divisors (see below), whose sum is σ = 37108801800. Its totient is φ = 31383440256.

The previous prime is 34228449979. The next prime is 34228450057. The reversal of 34228450009 is 90005482243.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2402960400 + 31825489609 = 49020^2 + 178397^2 .

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 34228450009 - 233 = 25638515417 is a prime.

It is a super-3 number, since 3×342284500093 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 34228450009.

It is not an unprimeable number, because it can be changed into a prime (34228450909) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8833492 + ... + 8837365.

It is an arithmetic number, because the mean of its divisors is an integer number (4638600225).

Almost surely, 234228450009 is an apocalyptic number.

It is an amenable number.

34228450009 is a deficient number, since it is larger than the sum of its proper divisors (2880351791).

34228450009 is a wasteful number, since it uses less digits than its factorization.

34228450009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17671019.

The product of its (nonzero) digits is 69120, while the sum is 37.

It can be divided in two parts, 342284 and 50009, that added together give a palindrome (392293).

The spelling of 34228450009 in words is "thirty-four billion, two hundred twenty-eight million, four hundred fifty thousand, nine".

Divisors: 1 13 149 1937 17670857 229721141 2632957693 34228450009