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34223421024 = 25331316131889
BaseRepresentation
bin11111110111110111…
…111111011001100000
310021100002101220212000
4133313313333121200
51030042143433044
623415542404000
72321042164452
oct376767773140
9107302356760
1034223421024
1113572257831
126771430600
1332c53813b0
14192931a2d2
15d547d2d69
hex7f7dff660

34223421024 has 192 divisors, whose sum is σ = 107620228800. Its totient is φ = 10518183936.

The previous prime is 34223421007. The next prime is 34223421049. The reversal of 34223421024 is 42012432243.

34223421024 is a `hidden beast` number, since 3 + 422 + 3 + 4 + 210 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18116272 + ... + 18118160.

It is an arithmetic number, because the mean of its divisors is an integer number (560522025).

Almost surely, 234223421024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34223421024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53810114400).

34223421024 is an abundant number, since it is smaller than the sum of its proper divisors (73396807776).

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

34223421024 is a wasteful number, since it uses less digits than its factorization.

34223421024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3534 (or 3520 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 34223421024 its reverse (42012432243), we get a palindrome (76235853267).

The spelling of 34223421024 in words is "thirty-four billion, two hundred twenty-three million, four hundred twenty-one thousand, twenty-four".