| Base | Representation |
|---|---|
| bin | 110010000101101… |
| … | …011011100000000 |
| 3 | 2011120021011201100 |
| 4 | 302011223130000 |
| 5 | 3210112140230 |
| 6 | 215215334400 |
| 7 | 26552565240 |
| oct | 6205533400 |
| 9 | 2146234640 |
| 10 | 840349440 |
| 11 | 3a139aa77 |
| 12 | 1b5521400 |
| 13 | 10513c7b8 |
| 14 | 7d86db20 |
| 15 | 4db97660 |
| hex | 3216b700 |
840349440 has 432 divisors, whose sum is σ = 3524084928. Its totient is φ = 180486144.
The previous prime is 840349429. The next prime is 840349441. The reversal of 840349440 is 44943048.
840349440 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.
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 = 840349395 and 840349404.
It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 2452 × 140 × 2448.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (840349441) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1370574 + ... + 1371186.
It is an arithmetic number, because the mean of its divisors is an integer number (8157604).
Almost surely, 2840349440 is an apocalyptic number.
840349440 is a gapful number since it is divisible by the number (80) 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 840349440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1762042464).
840349440 is an abundant number, since it is smaller than the sum of its proper divisors (2683735488).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
840349440 is a wasteful number, since it uses less digits than its factorization.
840349440 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 664 (or 647 counting only the distinct ones).
The product of its (nonzero) digits is 55296, while the sum is 36.
The square root of 840349440 is about 28988.7812782807. The cubic root of 840349440 is about 943.6696153044.
The spelling of 840349440 in words is "eight hundred forty million, three hundred forty-nine thousand, four hundred forty".
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