| Base | Representation |
|---|---|
| bin | 111100100111110… |
| … | …0111101001000000 |
| 3 | 12020202120220022000 |
| 4 | 1321033213221000 |
| 5 | 13131214401124 |
| 6 | 533502344000 |
| 7 | 101256612336 |
| oct | 17117475100 |
| 9 | 5222526260 |
| 10 | 2034137664 |
| 11 | 954243809 |
| 12 | 48928b000 |
| 13 | 26556a770 |
| 14 | 154223b56 |
| 15 | bd8a76c9 |
| hex | 793e7a40 |
2034137664 has 448 divisors, whose sum is σ = 6991380480. Its totient is φ = 574801920.
The previous prime is 2034137647. The next prime is 2034137681. The reversal of 2034137664 is 4667314302.
It is a happy number.
2034137664 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (2034137647) and next prime (2034137681).
It is a super-2 number, since 2×20341376642 = 8275432072206753792, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an unprimeable number.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16016769 + ... + 16016895.
It is an arithmetic number, because the mean of its divisors is an integer number (15605760).
Almost surely, 22034137664 is an apocalyptic number.
2034137664 is a gapful number since it is divisible by the number (24) 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 2034137664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3495690240).
2034137664 is an abundant number, since it is smaller than the sum of its proper divisors (4957242816).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2034137664 is a wasteful number, since it uses less digits than its factorization.
2034137664 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 215 (or 199 counting only the distinct ones).
The product of its (nonzero) digits is 72576, while the sum is 36.
The square root of 2034137664 is about 45101.4153214730. The cubic root of 2034137664 is about 1267.0491068034.
The spelling of 2034137664 in words is "two billion, thirty-four million, one hundred thirty-seven thousand, six hundred sixty-four".
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