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34478100740 = 2251739964769
BaseRepresentation
bin100000000111000011…
…100001000100000100
310021222211121222202002
4200013003201010010
51031102343210430
623501121204432
72330254010066
oct400703410404
9107884558662
1034478100740
1113692a97436
126822790718
133336071b55
141951093736
15d6bd3d845
hex8070e1104

34478100740 has 24 divisors (see below), whose sum is σ = 72822539160. Its totient is φ = 13711520768.

The previous prime is 34478100733. The next prime is 34478100781. The reversal of 34478100740 is 4700187443.

It can be written as a sum of positive squares in 4 ways, for example, as 15864410116 + 18613690624 = 125954^2 + 136432^2 .

It is a junction number, because it is equal to n+sod(n) for n = 34478100694 and 34478100703.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4978925 + ... + 4985844.

It is an arithmetic number, because the mean of its divisors is an integer number (3034272465).

Almost surely, 234478100740 is an apocalyptic number.

It is an amenable number.

34478100740 is an abundant number, since it is smaller than the sum of its proper divisors (38344438420).

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

34478100740 is a wasteful number, since it uses less digits than its factorization.

34478100740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9964951 (or 9964949 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 38.

The spelling of 34478100740 in words is "thirty-four billion, four hundred seventy-eight million, one hundred thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 173 346 692 865 1730 3460 9964769 19929538 39859076 49823845 99647690 199295380 1723905037 3447810074 6895620148 8619525185 17239050370 34478100740