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34005240060 = 22351151523091
BaseRepresentation
bin11111101010110111…
…101100100011111100
310020202212212011211120
4133222313230203330
51024120320140220
623342150150540
72312452525401
oct375267544374
9106685764746
1034005240060
1113470087190
126710352450
13328c0cc92c
1419083642a8
15d40586a40
hex7eadec8fc

34005240060 has 48 divisors (see below), whose sum is σ = 103870553472. Its totient is φ = 8243694400.

The previous prime is 34005240043. The next prime is 34005240089. The reversal of 34005240060 is 6004250043.

It is a self number, because there is not a number n which added to its sum of digits gives 34005240060.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 25760886 + ... + 25762205.

It is an arithmetic number, because the mean of its divisors is an integer number (2163969864).

Almost surely, 234005240060 is an apocalyptic number.

34005240060 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34005240060 is an abundant number, since it is smaller than the sum of its proper divisors (69865313412).

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

34005240060 is a wasteful number, since it uses less digits than its factorization.

34005240060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51523114 (or 51523112 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The spelling of 34005240060 in words is "thirty-four billion, five million, two hundred forty thousand, sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 51523091 103046182 154569273 206092364 257615455 309138546 515230910 566754001 618277092 772846365 1030461820 1133508002 1545692730 1700262003 2267016004 2833770005 3091385460 3400524006 5667540010 6801048012 8501310015 11335080020 17002620030 34005240060