| Base | Representation |
|---|---|
| bin | 110110101010010… |
| … | …1100010000000000 |
| 3 | 11201211021000000000 |
| 4 | 1231110230100000 |
| 5 | 12224020000142 |
| 6 | 502000000000 |
| 7 | 63310636620 |
| oct | 15524542000 |
| 9 | 4654230000 |
| 10 | 1834140672 |
| 11 | 861363041 |
| 12 | 432300000 |
| 13 | 232cb4950 |
| 14 | 135842880 |
| 15 | ab04e14c |
| hex | 6d52c400 |
1834140672 has 440 divisors, whose sum is σ = 6768790336. Its totient is φ = 483729408.
The previous prime is 1834140667. The next prime is 1834140703. The reversal of 1834140672 is 2760414381.
1834140672 is a `hidden beast` number, since 183 + 4 + 1 + 406 + 72 = 666.
It is a super-3 number, since 3×18341406723 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 1834140672 = 723 + 12243 = 5403 + 11883.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 141087738 + ... + 141087750.
Almost surely, 21834140672 is an apocalyptic number.
1834140672 is a gapful number since it is divisible by the number (12) 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 1834140672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3384395168).
1834140672 is an abundant number, since it is smaller than the sum of its proper divisors (4934649664).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1834140672 is an frugal number, since it uses more digits than its factorization.
1834140672 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 67 (or 25 counting only the distinct ones).
The product of its (nonzero) digits is 32256, while the sum is 36.
The square root of 1834140672 is about 42826.8685756967. The cubic root of 1834140672 is about 1224.0830393490.
The spelling of 1834140672 in words is "one billion, eight hundred thirty-four million, one hundred forty thousand, six hundred seventy-two".
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