Base | Representation |
---|---|
bin | 100000001110100000… |
… | …101101000010000000 |
3 | 10022022120000022022022 |
4 | 200032200231002000 |
5 | 1031331404124243 |
6 | 23521350301012 |
7 | 2333333165666 |
oct | 401640550200 |
9 | 108276008268 |
10 | 34603192448 |
11 | 13747666710 |
12 | 6858657768 |
13 | 3355c5c506 |
14 | 1963936c36 |
15 | d77cecb68 |
hex | 80e82d080 |
34603192448 has 64 divisors (see below), whose sum is σ = 75518352000. Its totient is φ = 15662760960.
The previous prime is 34603192441. The next prime is 34603192451. The reversal of 34603192448 is 84429130643.
It is a tau number, because it is divible by the number of its divisors (64).
It is a Harshad number since it is a multiple of its sum of digits (44).
It is a junction number, because it is equal to n+sod(n) for n = 34603192399 and 34603192408.
It is not an unprimeable number, because it can be changed into a prime (34603192441) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 285098 + ... + 387926.
It is an arithmetic number, because the mean of its divisors is an integer number (1179974250).
Almost surely, 234603192448 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 34603192448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37759176000).
34603192448 is an abundant number, since it is smaller than the sum of its proper divisors (40915159552).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
34603192448 is a wasteful number, since it uses less digits than its factorization.
34603192448 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 103093 (or 103081 counting only the distinct ones).
The product of its (nonzero) digits is 497664, while the sum is 44.
The spelling of 34603192448 in words is "thirty-four billion, six hundred three million, one hundred ninety-two thousand, four hundred forty-eight".
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