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34448884443 = 332943996021
BaseRepresentation
bin100000000101010100…
…000100001011011011
310021220210122122112000
4200011110010023123
51031022403300233
623454155052043
72326450454301
oct400524041333
9107823578460
1034448884443
1113678551836
126814a41023
13332ccb27bc
14194b24a271
15d694bbd13
hex8055042db

34448884443 has 16 divisors (see below), whose sum is σ = 52795226400. Its totient is φ = 22173994080.

The previous prime is 34448884441. The next prime is 34448884451.

34448884443 is a `hidden beast` number, since 3 + 4 + 44 + 88 + 84 + 443 = 666.

34448884443 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34448884443 - 21 = 34448884441 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 34448884443.

It is not an unprimeable number, because it can be changed into a prime (34448884441) 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 15 ways as a sum of consecutive naturals, for example, 21997228 + ... + 21998793.

It is an arithmetic number, because the mean of its divisors is an integer number (3299701650).

Almost surely, 234448884443 is an apocalyptic number.

34448884443 is a deficient number, since it is larger than the sum of its proper divisors (18346341957).

34448884443 is a wasteful number, since it uses less digits than its factorization.

34448884443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43996059 (or 43996053 counting only the distinct ones).

The product of its digits is 18874368, while the sum is 54.

The spelling of 34448884443 in words is "thirty-four billion, four hundred forty-eight million, eight hundred eighty-four thousand, four hundred forty-three".

Divisors: 1 3 9 27 29 87 261 783 43996021 131988063 395964189 1187892567 1275884609 3827653827 11482961481 34448884443