| Base | Representation |
|---|---|
| bin | 110000101110101011111… |
| … | …100110001011000000000 |
| 3 | 102212010111011202211222200 |
| 4 | 300232223330301120000 |
| 5 | 414331031033432100 |
| 6 | 11042204414433200 |
| 7 | 463635011255364 |
| oct | 60565374613000 |
| 9 | 12763434684880 |
| 10 | 3348664358400 |
| 11 | 1081184804799 |
| 12 | 460bb0b02800 |
| 13 | 1b3a1579474a |
| 14 | b810d20b2a4 |
| 15 | 5c18e3b6e00 |
| hex | 30babf31600 |
3348664358400 has 360 divisors, whose sum is σ = 12004399269720. Its totient is φ = 891453112320.
The previous prime is 3348664358387. The next prime is 3348664358401. The reversal of 3348664358400 is 48534668433.
3348664358400 is a `hidden beast` number, since 33 + 48 + 66 + 435 + 84 + 0 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (360).
It is a super-2 number, since 2×33486643584002 (a number of 26 digits) contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (3348664358401) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 68289091 + ... + 68338109.
It is an arithmetic number, because the mean of its divisors is an integer number (33345553527).
Almost surely, 23348664358400 is an apocalyptic number.
3348664358400 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 3348664358400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6002199634860).
3348664358400 is an abundant number, since it is smaller than the sum of its proper divisors (8655734911320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3348664358400 is a wasteful number, since it uses less digits than its factorization.
3348664358400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 49646 (or 49622 counting only the distinct ones).
The product of its (nonzero) digits is 19906560, while the sum is 54.
The spelling of 3348664358400 in words is "three trillion, three hundred forty-eight billion, six hundred sixty-four million, three hundred fifty-eight thousand, four hundred".
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