| Base | Representation |
|---|---|
| bin | 110010000101100… |
| … | …0110001001000000 |
| 3 | 11100010101212102000 |
| 4 | 1210023012021000 |
| 5 | 11420220132321 |
| 6 | 434433424000 |
| 7 | 56435056620 |
| oct | 14413061100 |
| 9 | 4303355360 |
| 10 | 1680630336 |
| 11 | 7927434a0 |
| 12 | 3aaa0b000 |
| 13 | 20a257028 |
| 14 | 11d2c2880 |
| 15 | 9c829826 |
| hex | 642c6240 |
1680630336 has 448 divisors, whose sum is σ = 6531010560. Its totient is φ = 410296320.
The previous prime is 1680630331. The next prime is 1680630349. The reversal of 1680630336 is 6330360861.
1680630336 is a `hidden beast` number, since 16 + 8 + 0 + 630 + 3 + 3 + 6 = 666.
It is a tau number, because it is divible by the number of its divisors (448).
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 1680630336.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1680630331) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2261581 + ... + 2262323.
Almost surely, 21680630336 is an apocalyptic number.
1680630336 is a gapful number since it is divisible by the number (16) 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 1680630336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3265505280).
1680630336 is an abundant number, since it is smaller than the sum of its proper divisors (4850380224).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1680630336 is a wasteful number, since it uses less digits than its factorization.
1680630336 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 799 (or 783 counting only the distinct ones).
The product of its (nonzero) digits is 46656, while the sum is 36.
The square root of 1680630336 is about 40995.4916545710. The cubic root of 1680630336 is about 1188.9330492630.
The spelling of 1680630336 in words is "one billion, six hundred eighty million, six hundred thirty thousand, three hundred thirty-six".
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