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34256804460 = 22353747397827
BaseRepresentation
bin11111111001110111…
…010101101001101100
310021102102012222022120
4133321313111221230
51030124220220320
623423134112540
72321626014324
oct377167255154
9107372188276
1034256804460
111358a08924a
12678064b750
1332cc26c3c8
14192d92a284
15d576c9440
hex7f9dd5a6c

34256804460 has 192 divisors, whose sum is σ = 100982827008. Its totient is φ = 8666735616.

The previous prime is 34256804459. The next prime is 34256804489. The reversal of 34256804460 is 6440865243.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41422567 + ... + 41423393.

It is an arithmetic number, because the mean of its divisors is an integer number (525952224).

Almost surely, 234256804460 is an apocalyptic number.

34256804460 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34256804460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50491413504).

34256804460 is an abundant number, since it is smaller than the sum of its proper divisors (66726022548).

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

34256804460 is a wasteful number, since it uses less digits than its factorization.

34256804460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

The spelling of 34256804460 in words is "thirty-four billion, two hundred fifty-six million, eight hundred four thousand, four hundred sixty".