Search a number
-
+
34000288669 is a prime number
BaseRepresentation
bin11111101010100100…
…110011101110011101
310020202112112121210201
4133222210303232131
51024113033214134
623341452103501
72312362454014
oct375244635635
9106675477721
1034000288669
1113468305126
12670a764b91
13328b088009
141907835a7b
15d3ee09914
hex7ea933b9d

34000288669 has 2 divisors, whose sum is σ = 34000288670. Its totient is φ = 34000288668.

The previous prime is 34000288631. The next prime is 34000288723. The reversal of 34000288669 is 96688200043.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 30962625444 + 3037663225 = 175962^2 + 55115^2 .

It is a cyclic number.

It is not a de Polignac number, because 34000288669 - 233 = 25410354077 is a prime.

It is a super-3 number, since 3×340002886693 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34000289669) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17000144334 + 17000144335.

It is an arithmetic number, because the mean of its divisors is an integer number (17000144335).

Almost surely, 234000288669 is an apocalyptic number.

It is an amenable number.

34000288669 is a deficient number, since it is larger than the sum of its proper divisors (1).

34000288669 is an equidigital number, since it uses as much as digits as its factorization.

34000288669 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 497664, while the sum is 46.

The spelling of 34000288669 in words is "thirty-four billion, two hundred eighty-eight thousand, six hundred sixty-nine".