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34360869040 = 2454730232
BaseRepresentation
bin100000000000000100…
…010100000010110000
310021200200001000002021
4200000010110002300
51030332340302130
623441332401224
72324331365521
oct400004240260
9107620030067
1034360869040
11136328a6533
1267ab476214
1333179a6c94
14193d698848
15d618d337a
hex8001140b0

34360869040 has 60 divisors (see below), whose sum is σ = 81615785184. Its totient is φ = 13447464832.

The previous prime is 34360869007. The next prime is 34360869041. The reversal of 34360869040 is 4096806343.

It is not an unprimeable number, because it can be changed into a prime (34360869041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11364969 + ... + 11367991.

Almost surely, 234360869040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34360869040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40807892592).

34360869040 is an abundant number, since it is smaller than the sum of its proper divisors (47254916144).

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

34360869040 is an frugal number, since it uses more digits than its factorization.

34360869040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6106 (or 3077 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 43.

The spelling of 34360869040 in words is "thirty-four billion, three hundred sixty million, eight hundred sixty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 47 80 94 188 235 376 470 752 940 1880 3023 3760 6046 12092 15115 24184 30230 48368 60460 120920 142081 241840 284162 568324 710405 1136648 1420810 2273296 2841620 5683240 9138529 11366480 18277058 36554116 45692645 73108232 91385290 146216464 182770580 365541160 429510863 731082320 859021726 1718043452 2147554315 3436086904 4295108630 6872173808 8590217260 17180434520 34360869040