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34210520224 = 251922961437
BaseRepresentation
bin11111110111000110…
…110001110010100000
310021022012010111021121
4133313012301302200
51030030343121344
623414402102024
72320524424006
oct376706616240
9107265114247
1034210520224
1113565a46211
12676904a914
1332c27b539a
14192771ca76
15d535d5684
hex7f71b1ca0

34210520224 has 36 divisors (see below), whose sum is σ = 71083396314. Its totient is φ = 16204977792.

The previous prime is 34210520221. The next prime is 34210520257. The reversal of 34210520224 is 42202501243.

It can be written as a sum of positive squares in only one way, i.e., 30741310224 + 3469210000 = 175332^2 + 58900^2 .

It is not an unprimeable number, because it can be changed into a prime (34210520221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1469167 + ... + 1492270.

Almost surely, 234210520224 is an apocalyptic number.

It is an amenable number.

34210520224 is an abundant number, since it is smaller than the sum of its proper divisors (36872876090).

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

34210520224 is a wasteful number, since it uses less digits than its factorization.

34210520224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2961485 (or 2961458 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The spelling of 34210520224 in words is "thirty-four billion, two hundred ten million, five hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 361 608 722 1444 2888 5776 11552 2961437 5922874 11845748 23691496 47382992 56267303 94765984 112534606 225069212 450138424 900276848 1069078757 1800553696 2138157514 4276315028 8552630056 17105260112 34210520224