Base | Representation |
---|---|
bin | 1000111110011111110100 |
3 | 11102112220100 |
4 | 20332133310 |
5 | 1100300030 |
6 | 122234100 |
7 | 26000316 |
oct | 10763764 |
9 | 4375810 |
10 | 2353140 |
11 | 1367a49 |
12 | 955930 |
13 | 6450ba |
14 | 4537b6 |
15 | 317360 |
hex | 23e7f4 |
2353140 has 72 divisors (see below), whose sum is σ = 7567560. Its totient is φ = 589824.
The previous prime is 2353129. The next prime is 2353159. The reversal of 2353140 is 413532.
It can be written as a sum of positive squares in 4 ways, for example, as 381924 + 1971216 = 618^2 + 1404^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2676 + ... + 3444.
It is an arithmetic number, because the mean of its divisors is an integer number (105105).
22353140 is an apocalyptic number.
2353140 is a gapful number since it is divisible by the number (20) 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 2353140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3783780).
2353140 is an abundant number, since it is smaller than the sum of its proper divisors (5214420).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2353140 is a wasteful number, since it uses less digits than its factorization.
2353140 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 801 (or 796 counting only the distinct ones).
The product of its (nonzero) digits is 360, while the sum is 18.
The square root of 2353140 is about 1533.9947848673. The cubic root of 2353140 is about 133.0094779082.
Adding to 2353140 its reverse (413532), we get a palindrome (2766672).
It can be divided in two parts, 235 and 3140, that added together give a cube (3375 = 153).
The spelling of 2353140 in words is "two million, three hundred fifty-three thousand, one hundred forty".
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