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34688321416 = 2375778091327
BaseRepresentation
bin100000010011100101…
…011100011110001000
310022112111012022022001
4200103211130132020
51032020202241131
623534031040344
72335415603260
oct402345343610
9108474168261
1034688321416
1113790720331
1268810700b4
13336a797298
141970d767a0
15d80516261
hex81395c788

34688321416 has 64 divisors (see below), whose sum is σ = 74609164800. Its totient is φ = 14811144192.

The previous prime is 34688321411. The next prime is 34688321431. The reversal of 34688321416 is 61412388643.

It is not an unprimeable number, because it can be changed into a prime (34688321411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26139745 + ... + 26141071.

It is an arithmetic number, because the mean of its divisors is an integer number (1165768200).

Almost surely, 234688321416 is an apocalyptic number.

It is an amenable number.

34688321416 is an abundant number, since it is smaller than the sum of its proper divisors (39920843384).

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

34688321416 is a wasteful number, since it uses less digits than its factorization.

34688321416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2726 (or 2722 counting only the distinct ones).

The product of its digits is 663552, while the sum is 46.

The spelling of 34688321416 in words is "thirty-four billion, six hundred eighty-eight million, three hundred twenty-one thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 28 56 577 809 1154 1327 1618 2308 2654 3236 4039 4616 5308 5663 6472 8078 9289 10616 11326 16156 18578 22652 32312 37156 45304 74312 466793 765679 933586 1073543 1531358 1867172 2147086 3062716 3267551 3734344 4294172 5359753 6125432 6535102 7514801 8588344 10719506 13070204 15029602 21439012 26140408 30059204 42878024 60118408 619434311 1238868622 2477737244 4336040177 4955474488 8672080354 17344160708 34688321416