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34122014340 = 22353118345169
BaseRepresentation
bin11111110001110101…
…001001111010000100
310021002000120221000220
4133301311021322010
51024340213424330
623401521104340
72315401223241
oct376165117204
9107060527026
1034122014340
111351aa95457
1267434880b0
1332aa36753b
141919a805c8
15d4a951710
hex7f1d49e84

34122014340 has 48 divisors (see below), whose sum is σ = 98623633920. Its totient is φ = 8805680640.

The previous prime is 34122014299. The next prime is 34122014351. The reversal of 34122014340 is 4341022143.

It is a self number, because there is not a number n which added to its sum of digits gives 34122014340.

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 15 ways as a sum of consecutive naturals, for example, 9170725 + ... + 9174444.

It is an arithmetic number, because the mean of its divisors is an integer number (2054659040).

Almost surely, 234122014340 is an apocalyptic number.

34122014340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34122014340 is an abundant number, since it is smaller than the sum of its proper divisors (64501619580).

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

34122014340 is a wasteful number, since it uses less digits than its factorization.

34122014340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18345212 (or 18345210 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 34122014340 its reverse (4341022143), we get a palindrome (38463036483).

The spelling of 34122014340 in words is "thirty-four billion, one hundred twenty-two million, fourteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1860 18345169 36690338 55035507 73380676 91725845 110071014 183451690 220142028 275177535 366903380 550355070 568700239 1100710140 1137400478 1706100717 2274800956 2843501195 3412201434 5687002390 6824402868 8530503585 11374004780 17061007170 34122014340