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34230202244 = 22745216841
BaseRepresentation
bin11111111000010001…
…110110111110000100
310021100120011102221022
4133320101312332010
51030100412432434
623420344010312
72321153630000
oct377021667604
9107316142838
1034230202244
1113576069647
126773760998
1332c68b6b54
14192a1a3700
15d551c222e
hex7f8476f84

34230202244 has 60 divisors (see below), whose sum is σ = 70026871068. Its totient is φ = 14639788800.

The previous prime is 34230202243. The next prime is 34230202261. The reversal of 34230202244 is 44220203243.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 17999442244 + 16230760000 = 134162^2 + 127400^2 .

It is not an unprimeable number, because it can be changed into a prime (34230202241) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5000264 + ... + 5007104.

Almost surely, 234230202244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34230202244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35013435534).

34230202244 is an abundant number, since it is smaller than the sum of its proper divisors (35796668824).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34230202244 is an equidigital number, since it uses as much as digits as its factorization.

34230202244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7394 (or 7371 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

Adding to 34230202244 its reverse (44220203243), we get a palindrome (78450405487).

Subtracting 34230202244 from its reverse (44220203243), we obtain a palindrome (9990000999).

The spelling of 34230202244 in words is "thirty-four billion, two hundred thirty million, two hundred two thousand, two hundred forty-four".

Divisors: 1 2 4 7 14 28 49 98 196 343 521 686 1042 1372 2084 2401 3647 4802 6841 7294 9604 13682 14588 25529 27364 47887 51058 95774 102116 178703 191548 335209 357406 670418 714812 1250921 1340836 2346463 2501842 3564161 4692926 5003684 7128322 9385852 14256644 16425241 24949127 32850482 49898254 65700964 99796508 174643889 349287778 698575556 1222507223 2445014446 4890028892 8557550561 17115101122 34230202244