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34004067040 = 255212525419
BaseRepresentation
bin11111101010110011…
…001110001011100000
310020202210122120202101
4133222303032023200
51024120020121130
623342105100144
72312436541456
oct375263161340
9106683576671
1034004067040
111346a455949
12670ba87654
13328baaba38
14190813a9d6
15d404041ca
hex7eacce2e0

34004067040 has 24 divisors (see below), whose sum is σ = 80334608760. Its totient is φ = 13601626752.

The previous prime is 34004067023. The next prime is 34004067067. The reversal of 34004067040 is 4076040043.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 106262550 + ... + 106262869.

It is an arithmetic number, because the mean of its divisors is an integer number (3347275365).

Almost surely, 234004067040 is an apocalyptic number.

It is an amenable number.

34004067040 is an abundant number, since it is smaller than the sum of its proper divisors (46330541720).

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

34004067040 is a wasteful number, since it uses less digits than its factorization.

34004067040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212525434 (or 212525426 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

The spelling of 34004067040 in words is "thirty-four billion, four million, sixty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 212525419 425050838 850101676 1062627095 1700203352 2125254190 3400406704 4250508380 6800813408 8501016760 17002033520 34004067040