| Base | Representation |
|---|---|
| bin | 1100011101110001… |
| … | …1111111001000000 |
| 3 | 22122012100100112200 |
| 4 | 3013130133321000 |
| 5 | 23323102333030 |
| 6 | 1312011153200 |
| 7 | 145630456260 |
| oct | 30734377100 |
| 9 | 8565310480 |
| 10 | 3346136640 |
| 11 | 1467896a90 |
| 12 | 794745800 |
| 13 | 414317112 |
| 14 | 23a5897a0 |
| 15 | 148b67d60 |
| hex | c771fe40 |
3346136640 has 672 divisors, whose sum is σ = 14606991360. Its totient is φ = 682905600.
The previous prime is 3346136611. The next prime is 3346136671. The reversal of 3346136640 is 466316433.
3346136640 is a `hidden beast` number, since 3 + 3 + 4 + 6 + 1 + 3 + 6 + 640 = 666.
It is a tau number, because it is divible by the number of its divisors (672).
It is a super-2 number, since 2×33461366402 = 22393260827100979200, 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 = 3346136595 and 3346136604.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17518945 + ... + 17519135.
Almost surely, 23346136640 is an apocalyptic number.
3346136640 is a gapful number since it is divisible by the number (30) 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 3346136640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7303495680).
3346136640 is an abundant number, since it is smaller than the sum of its proper divisors (11260854720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3346136640 is a wasteful number, since it uses less digits than its factorization.
3346136640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 311 (or 298 counting only the distinct ones).
The product of its (nonzero) digits is 93312, while the sum is 36.
The square root of 3346136640 is about 57845.8005390193. The cubic root of 3346136640 is about 1495.7116986640.
The spelling of 3346136640 in words is "three billion, three hundred forty-six million, one hundred thirty-six thousand, six hundred forty".
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