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34245342528 = 2632371239457
BaseRepresentation
bin11111111001001011…
…100111010101000000
310021101121122122111120
4133321023213111000
51030113301430103
623422044312240
72321426415525
oct377113472500
9107347578446
1034245342528
111358366a781
126778842680
1332c9a882b7
14192c1c514c
15d566b3253
hex7f92e7540

34245342528 has 224 divisors, whose sum is σ = 96490414080. Its totient is φ = 10696519680.

The previous prime is 34245342479. The next prime is 34245342533. The reversal of 34245342528 is 82524354243.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 34245342528.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 74934876 + ... + 74935332.

Almost surely, 234245342528 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 34245342528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48245207040).

34245342528 is an abundant number, since it is smaller than the sum of its proper divisors (62245071552).

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

34245342528 is a wasteful number, since it uses less digits than its factorization.

34245342528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 795 counting only the distinct ones).

The product of its digits is 921600, while the sum is 42.

The spelling of 34245342528 in words is "thirty-four billion, two hundred forty-five million, three hundred forty-two thousand, five hundred twenty-eight".