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34403200321 = 72702106129
BaseRepresentation
bin100000000010100101…
…110010110101000001
310021210121200122200111
4200002211302311001
51030424204402241
623445443551321
72325354243400
oct400245626501
9107717618614
1034403200321
1113654789666
12680168b541
1333236a8989
141945157637
15d65495c81
hex802972d41

34403200321 has 6 divisors (see below), whose sum is σ = 40020049410. Its totient is φ = 29488457376.

The previous prime is 34403200303. The next prime is 34403200427. The reversal of 34403200321 is 12300230443.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 34397266225 + 5934096 = 185465^2 + 2436^2 .

It is not a de Polignac number, because 34403200321 - 25 = 34403200289 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34403200292 and 34403200301.

It is not an unprimeable number, because it can be changed into a prime (34403200301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 351053016 + ... + 351053113.

It is an arithmetic number, because the mean of its divisors is an integer number (6670008235).

Almost surely, 234403200321 is an apocalyptic number.

It is an amenable number.

34403200321 is a deficient number, since it is larger than the sum of its proper divisors (5616849089).

34403200321 is an equidigital number, since it uses as much as digits as its factorization.

34403200321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702106143 (or 702106136 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 34403200321 its reverse (12300230443), we get a palindrome (46703430764).

The spelling of 34403200321 in words is "thirty-four billion, four hundred three million, two hundred thousand, three hundred twenty-one".

Divisors: 1 7 49 702106129 4914742903 34403200321