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34450716448 = 259781110069
BaseRepresentation
bin100000000101011011…
…000011011100100000
310021220221002201120001
4200011123003130200
51031023340411243
623454302225344
72326502154361
oct400533033440
9107827081501
1034450716448
1113679593195
126815585254
1333304a4625
14194b5a5b68
15d6972ea4d
hex8056c3720

34450716448 has 24 divisors (see below), whose sum is σ = 67832398620. Its totient is φ = 17223440640.

The previous prime is 34450716439. The next prime is 34450716467. The reversal of 34450716448 is 84461705443.

It can be written as a sum of positive squares in 2 ways, for example, as 34436967184 + 13749264 = 185572^2 + 3708^2 .

It is a junction number, because it is equal to n+sod(n) for n = 34450716398 and 34450716407.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 257958 + ... + 368026.

Almost surely, 234450716448 is an apocalyptic number.

It is an amenable number.

34450716448 is a deficient number, since it is larger than the sum of its proper divisors (33381682172).

34450716448 is a wasteful number, since it uses less digits than its factorization.

34450716448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119860 (or 119852 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 46.

The spelling of 34450716448 in words is "thirty-four billion, four hundred fifty million, seven hundred sixteen thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 32 9781 19562 39124 78248 110069 156496 220138 312992 440276 880552 1761104 3522208 1076584889 2153169778 4306339556 8612679112 17225358224 34450716448