Base | Representation |
---|---|
bin | 1011001000000… |
… | …10101001010100 |
3 | 20111121212022112 |
4 | 11210002221110 |
5 | 142343142400 |
6 | 13132250152 |
7 | 2212220036 |
oct | 544025124 |
9 | 214555275 |
10 | 93334100 |
11 | 48759322 |
12 | 27310958 |
13 | 1644b6a2 |
14 | c577c56 |
15 | 82d9835 |
hex | 5902a54 |
93334100 has 36 divisors (see below), whose sum is σ = 204562428. Its totient is φ = 36960000.
The previous prime is 93334051. The next prime is 93334103. The reversal of 93334100 is 143339.
It can be written as a sum of positive squares in 6 ways, for example, as 20811844 + 72522256 = 4562^2 + 8516^2 .
It is a super-2 number, since 2×933341002 = 17422508445620000, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (93334103) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5480 + ... + 14720.
Almost surely, 293334100 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 93334100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102281214).
93334100 is an abundant number, since it is smaller than the sum of its proper divisors (111228328).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
93334100 is a wasteful number, since it uses less digits than its factorization.
93334100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 9356 (or 9349 counting only the distinct ones).
The product of its (nonzero) digits is 972, while the sum is 23.
The square root of 93334100 is about 9660.9575094811. The cubic root of 93334100 is about 453.6073830770.
Adding to 93334100 its reverse (143339), we get a palindrome (93477439).
The spelling of 93334100 in words is "ninety-three million, three hundred thirty-four thousand, one hundred".
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