| Base | Representation |
|---|---|
| bin | 111100011010000… |
| … | …100010100010000 |
| 3 | 2121122000102112000 |
| 4 | 330122010110100 |
| 5 | 4033421411014 |
| 6 | 244322034000 |
| 7 | 34054215330 |
| oct | 7432042420 |
| 9 | 2548012460 |
| 10 | 1013466384 |
| 11 | 480091327 |
| 12 | 2434a8900 |
| 13 | 131c73768 |
| 14 | 988550c0 |
| 15 | 5de91509 |
| hex | 3c684510 |
1013466384 has 320 divisors, whose sum is σ = 3618816000. Its totient is φ = 265006080.
The previous prime is 1013466367. The next prime is 1013466397. The reversal of 1013466384 is 4836643101.
It is a happy number.
1013466384 is a `hidden beast` number, since 1 + 0 + 13 + 4 + 6 + 638 + 4 = 666.
It is a super-3 number, since 3×10134663843 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is an unprimeable number.
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 63 ways as a sum of consecutive naturals, for example, 1780852 + ... + 1781420.
It is an arithmetic number, because the mean of its divisors is an integer number (11308800).
Almost surely, 21013466384 is an apocalyptic number.
1013466384 is a gapful number since it is divisible by the number (14) 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 1013466384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1809408000).
1013466384 is an abundant number, since it is smaller than the sum of its proper divisors (2605349616).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1013466384 is a wasteful number, since it uses less digits than its factorization.
1013466384 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 643 (or 631 counting only the distinct ones).
The product of its (nonzero) digits is 41472, while the sum is 36.
The square root of 1013466384 is about 31834.9867912647. The cubic root of 1013466384 is about 1004.4687947923.
The spelling of 1013466384 in words is "one billion, thirteen million, four hundred sixty-six thousand, three hundred eighty-four".
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