| Base | Representation |
|---|---|
| bin | 1100100110001000… |
| … | …0011001110000000 |
| 3 | 22201122020001001000 |
| 4 | 3021202003032000 |
| 5 | 23411033141441 |
| 6 | 1315301412000 |
| 7 | 146534161650 |
| oct | 31142031600 |
| 9 | 8648201030 |
| 10 | 3381146496 |
| 11 | 1485629452 |
| 12 | 7a440a000 |
| 13 | 41b654500 |
| 14 | 2410a0360 |
| 15 | 14bc812b6 |
| hex | c9883380 |
3381146496 has 384 divisors, whose sum is σ = 12364358400. Its totient is φ = 890652672.
The previous prime is 3381146477. The next prime is 3381146497. The reversal of 3381146496 is 6946411833.
It is a tau number, because it is divible by the number of its divisors (384).
It is a super-2 number, since 2×33811464962 = 22864303254826156032, which contains 22 as substring.
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (3381146497) by changing a digit.
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 47 ways as a sum of consecutive naturals, for example, 4088035 + ... + 4088861.
It is an arithmetic number, because the mean of its divisors is an integer number (32198850).
Almost surely, 23381146496 is an apocalyptic number.
3381146496 is a gapful number since it is divisible by the number (36) 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 3381146496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6182179200).
3381146496 is an abundant number, since it is smaller than the sum of its proper divisors (8983211904).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3381146496 is a wasteful number, since it uses less digits than its factorization.
3381146496 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 883 (or 852 counting only the distinct ones).
The product of its digits is 373248, while the sum is 45.
The square root of 3381146496 is about 58147.6267443479. The cubic root of 3381146496 is about 1500.9100397734.
The spelling of 3381146496 in words is "three billion, three hundred eighty-one million, one hundred forty-six thousand, four hundred ninety-six".
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