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34004114672 = 2411313617269
BaseRepresentation
bin11111101010110011…
…011001110011110000
310020202210202000002112
4133222303121303300
51024120023132142
623342110104452
72312440130363
oct375263316360
9106683660075
1034004114672
111346a488710
12670baab128
13328bac7618
1419081500da
15d40413382
hex7eacd9cf0

34004114672 has 40 divisors (see below), whose sum is σ = 72102074160. Its totient is φ = 15407009280.

The previous prime is 34004114591. The next prime is 34004114689. The reversal of 34004114672 is 27641140043.

It is a congruent number.

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, 253547 + ... + 363722.

It is an arithmetic number, because the mean of its divisors is an integer number (1802551854).

Almost surely, 234004114672 is an apocalyptic number.

It is an amenable number.

34004114672 is an abundant number, since it is smaller than the sum of its proper divisors (38097959488).

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

34004114672 is a wasteful number, since it uses less digits than its factorization.

34004114672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617601 (or 617595 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The spelling of 34004114672 in words is "thirty-four billion, four million, one hundred fourteen thousand, six hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 44 88 176 313 626 1252 2504 3443 5008 6886 13772 27544 55088 617269 1234538 2469076 4938152 6789959 9876304 13579918 27159836 54319672 108639344 193205197 386410394 772820788 1545641576 2125257167 3091283152 4250514334 8501028668 17002057336 34004114672