| Base | Representation |
|---|---|
| bin | 1010100011010011… |
| … | …0010001101100000 |
| 3 | 21022101200022022100 |
| 4 | 2220310302031200 |
| 5 | 21300044100230 |
| 6 | 1145020210400 |
| 7 | 130122040320 |
| oct | 25064621540 |
| 9 | 7271608270 |
| 10 | 2832409440 |
| 11 | 1223904153 |
| 12 | 670699a00 |
| 13 | 361a66b23 |
| 14 | 1cc25d280 |
| 15 | 1189dc660 |
| hex | a8d32360 |
2832409440 has 288 divisors, whose sum is σ = 11696892480. Its totient is φ = 609288192.
The previous prime is 2832409429. The next prime is 2832409471. The reversal of 2832409440 is 449042382.
It is a tau number, because it is divible by the number of its divisors (288).
It is a super-2 number, since 2×28324094402 = 16045086471602227200, which contains 22 as substring.
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 = 2832409395 and 2832409404.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 163096 + ... + 179624.
It is an arithmetic number, because the mean of its divisors is an integer number (40614210).
Almost surely, 22832409440 is an apocalyptic number.
2832409440 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 2832409440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5848446240).
2832409440 is an abundant number, since it is smaller than the sum of its proper divisors (8864483040).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2832409440 is a wasteful number, since it uses less digits than its factorization.
2832409440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 16574 (or 16563 counting only the distinct ones).
The product of its (nonzero) digits is 55296, while the sum is 36.
The square root of 2832409440 is about 53220.3855679382. The cubic root of 2832409440 is about 1414.8769703286.
The spelling of 2832409440 in words is "two billion, eight hundred thirty-two million, four hundred nine thousand, four hundred forty".
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