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34360354140 = 22357376133607
BaseRepresentation
bin100000000000000010…
…010110010101011100
310021200122001211202220
4200000002112111130
51030332222313030
623441313345340
72324324122410
oct400002262534
9107618054686
1034360354140
11136325846a2
1267ab268250
1333178567c8
14193d5a2d40
15d61830a10
hex80009655c

34360354140 has 192 divisors, whose sum is σ = 113140414464. Its totient is φ = 7626949632.

The previous prime is 34360354087. The next prime is 34360354141. The reversal of 34360354140 is 4145306343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34360354141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9524217 + ... + 9527823.

It is an arithmetic number, because the mean of its divisors is an integer number (589272992).

Almost surely, 234360354140 is an apocalyptic number.

34360354140 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 34360354140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56570207232).

34360354140 is an abundant number, since it is smaller than the sum of its proper divisors (78780060324).

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

34360354140 is a wasteful number, since it uses less digits than its factorization.

34360354140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4276 (or 4274 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 33.

The spelling of 34360354140 in words is "thirty-four billion, three hundred sixty million, three hundred fifty-four thousand, one hundred forty".