| Base | Representation |
|---|---|
| bin | 111111100110110… |
| … | …1110011110000000 |
| 3 | 12111202001220120000 |
| 4 | 1333031232132000 |
| 5 | 13332340222030 |
| 6 | 551441320000 |
| 7 | 103614201336 |
| oct | 17715563600 |
| 9 | 5452056500 |
| 10 | 2134304640 |
| 11 | 9a5839736 |
| 12 | 4b6936000 |
| 13 | 28023c270 |
| 14 | 163659b56 |
| 15 | c7591860 |
| hex | 7f36e780 |
2134304640 has 320 divisors, whose sum is σ = 8210885760. Its totient is φ = 525201408.
The previous prime is 2134304617. The next prime is 2134304663. The reversal of 2134304640 is 464034312.
2134304640 is a `hidden beast` number, since 2 + 13 + 4 + 3 + 0 + 4 + 640 = 666.
It is an interprime number because it is at equal distance from previous prime (2134304617) and next prime (2134304663).
It is a tau number, because it is divible by the number of its divisors (320).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 672337 + ... + 675503.
It is an arithmetic number, because the mean of its divisors is an integer number (25659018).
Almost surely, 22134304640 is an apocalyptic number.
2134304640 is a gapful number since it is divisible by the number (20) 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 2134304640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4105442880).
2134304640 is an abundant number, since it is smaller than the sum of its proper divisors (6076581120).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2134304640 is a wasteful number, since it uses less digits than its factorization.
2134304640 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3211 (or 3190 counting only the distinct ones).
The product of its (nonzero) digits is 6912, while the sum is 27.
The square root of 2134304640 is about 46198.5350417088. The cubic root of 2134304640 is about 1287.5145219715.
Adding to 2134304640 its reverse (464034312), we get a palindrome (2598338952).
The spelling of 2134304640 in words is "two billion, one hundred thirty-four million, three hundred four thousand, six hundred forty".
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