| Base | Representation |
|---|---|
| bin | 1111010101110… |
| … | …1111111100000 |
| 3 | 11111002020001000 |
| 4 | 3311131333200 |
| 5 | 112433120003 |
| 6 | 10215112000 |
| 7 | 1410643605 |
| oct | 365357740 |
| 9 | 144066030 |
| 10 | 64348128 |
| 11 | 33360779 |
| 12 | 19672600 |
| 13 | 10440120 |
| 14 | 87906ac |
| 15 | 59b11a3 |
| hex | 3d5dfe0 |
64348128 has 192 divisors, whose sum is σ = 214643520. Its totient is φ = 18579456.
The previous prime is 64348127. The next prime is 64348133. The reversal of 64348128 is 82184346.
64348128 is a `hidden beast` number, since 643 + 4 + 8 + 1 + 2 + 8 = 666.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 64348092 and 64348101.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (64348127) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 190776 + ... + 191112.
It is an arithmetic number, because the mean of its divisors is an integer number (1117935).
Almost surely, 264348128 is an apocalyptic number.
64348128 is a gapful number since it is divisible by the number (68) 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 64348128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107321760).
64348128 is an abundant number, since it is smaller than the sum of its proper divisors (150295392).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
64348128 is a wasteful number, since it uses less digits than its factorization.
64348128 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 386 (or 372 counting only the distinct ones).
The product of its digits is 36864, while the sum is 36.
The square root of 64348128 is about 8021.7284920396. The cubic root of 64348128 is about 400.7239555969.
The spelling of 64348128 in words is "sixty-four million, three hundred forty-eight thousand, one hundred twenty-eight".
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