| Base | Representation |
|---|---|
| bin | 1101100101010001… |
| … | …1100110010000000 |
| 3 | 100102002121211120100 |
| 4 | 3121110130302000 |
| 5 | 24431340013030 |
| 6 | 1401442442400 |
| 7 | 156231426060 |
| oct | 33124346200 |
| 9 | 10362554510 |
| 10 | 3646016640 |
| 11 | 16010992a2 |
| 12 | 859063400 |
| 13 | 4614a23c6 |
| 14 | 26832b3a0 |
| 15 | 165151360 |
| hex | d951cc80 |
3646016640 has 384 divisors, whose sum is σ = 14857989120. Its totient is φ = 806215680.
The previous prime is 3646016629. The next prime is 3646016641. The reversal of 3646016640 is 466106463.
3646016640 is a `hidden beast` number, since 3 + 6 + 4 + 6 + 0 + 1 + 6 + 640 = 666.
It is a tau number, because it is divible by the number of its divisors (384).
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 = 3646016595 and 3646016604.
It is not an unprimeable number, because it can be changed into a prime (3646016641) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1248462 + ... + 1251378.
It is an arithmetic number, because the mean of its divisors is an integer number (38692680).
Almost surely, 23646016640 is an apocalyptic number.
3646016640 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 3646016640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7428994560).
3646016640 is an abundant number, since it is smaller than the sum of its proper divisors (11211972480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3646016640 is a wasteful number, since it uses less digits than its factorization.
3646016640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2980 (or 2965 counting only the distinct ones).
The product of its (nonzero) digits is 62208, while the sum is 36.
The square root of 3646016640 is about 60382.2543467864. The cubic root of 3646016640 is about 1539.1214193627.
The spelling of 3646016640 in words is "three billion, six hundred forty-six million, sixteen thousand, six hundred forty".
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