| Base | Representation |
|---|---|
| bin | 100000001010010001… |
| … | …101011011000000000 |
| 3 | 10022010121022201001000 |
| 4 | 200022101223120000 |
| 5 | 1031210212112030 |
| 6 | 23510331412000 |
| 7 | 2331511246350 |
| oct | 401221533000 |
| 9 | 108117281030 |
| 10 | 34532144640 |
| 11 | 1371054a414 |
| 12 | 68388b4000 |
| 13 | 3344314aa6 |
| 14 | 1958320b60 |
| 15 | d71966860 |
| hex | 80a46b600 |
34532144640 has 640 divisors, whose sum is σ = 141419520000. Its totient is φ = 7823720448.
The previous prime is 34532144629. The next prime is 34532144641. The reversal of 34532144640 is 4644123543.
34532144640 is a `hidden beast` number, since 3 + 4 + 5 + 3 + 2 + 1 + 4 + 4 + 640 = 666.
It is a tau number, because it is divible by the number of its divisors (640).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 34532144595 and 34532144604.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (34532144641) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 72091921 + ... + 72092399.
It is an arithmetic number, because the mean of its divisors is an integer number (220968000).
Almost surely, 234532144640 is an apocalyptic number.
34532144640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 34532144640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70709760000).
34532144640 is an abundant number, since it is smaller than the sum of its proper divisors (106887375360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
34532144640 is a wasteful number, since it uses less digits than its factorization.
34532144640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 667 (or 645 counting only the distinct ones).
The product of its (nonzero) digits is 138240, while the sum is 36.
The spelling of 34532144640 in words is "thirty-four billion, five hundred thirty-two million, one hundred forty-four thousand, six hundred forty".
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