Base | Representation |
---|---|
bin | 10110110110001… |
… | …000101110100000 |
3 | 222201020011102000 |
4 | 112312020232200 |
5 | 1241110242042 |
6 | 102011124000 |
7 | 12332625231 |
oct | 2666105640 |
9 | 881204360 |
10 | 383290272 |
11 | 1873a2722 |
12 | a8443600 |
13 | 615409a1 |
14 | 38c95088 |
15 | 239b274c |
hex | 16d88ba0 |
383290272 has 96 divisors (see below), whose sum is σ = 1121299200. Its totient is φ = 127378944.
The previous prime is 383290247. The next prime is 383290283. The reversal of 383290272 is 272092383.
383290272 is a `hidden beast` number, since 383 + 2 + 9 + 0 + 272 = 666.
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-2 number, since 2×3832902722 = 293822865219667968, which contains 22 as substring.
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
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 15 ways as a sum of consecutive naturals, for example, 532729 + ... + 533447.
It is an arithmetic number, because the mean of its divisors is an integer number (11680200).
Almost surely, 2383290272 is an apocalyptic number.
383290272 is a gapful number since it is divisible by the number (32) 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 383290272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560649600).
383290272 is an abundant number, since it is smaller than the sum of its proper divisors (738008928).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
383290272 is a wasteful number, since it uses less digits than its factorization.
383290272 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1355 (or 1341 counting only the distinct ones).
The product of its (nonzero) digits is 36288, while the sum is 36.
The square root of 383290272 is about 19577.8004893297. The cubic root of 383290272 is about 726.4001618829.
The spelling of 383290272 in words is "three hundred eighty-three million, two hundred ninety thousand, two hundred seventy-two".
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