Base | Representation |
---|---|
bin | 11100000011001… |
… | …10011001000000 |
3 | 121101202111111020 |
4 | 32001212121000 |
5 | 440214103131 |
6 | 35203145440 |
7 | 5555010021 |
oct | 1601463100 |
9 | 541674436 |
10 | 235300416 |
11 | 11090375a |
12 | 66975280 |
13 | 39996a20 |
14 | 23370c48 |
15 | 159cd996 |
hex | e066640 |
235300416 has 112 divisors (see below), whose sum is σ = 692310528. Its totient is φ = 70041600.
The previous prime is 235300399. The next prime is 235300433. The reversal of 235300416 is 614003532.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (235300399) and next prime (235300433).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75856 + ... + 78896.
It is an arithmetic number, because the mean of its divisors is an integer number (6181344).
Almost surely, 2235300416 is an apocalyptic number.
235300416 is a gapful number since it is divisible by the number (26) 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 235300416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346155264).
235300416 is an abundant number, since it is smaller than the sum of its proper divisors (457010112).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
235300416 is a wasteful number, since it uses less digits than its factorization.
235300416 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3100 (or 3090 counting only the distinct ones).
The product of its (nonzero) digits is 2160, while the sum is 24.
The square root of 235300416 is about 15339.5050767618. The cubic root of 235300416 is about 617.3634274284.
Adding to 235300416 its reverse (614003532), we get a palindrome (849303948).
The spelling of 235300416 in words is "two hundred thirty-five million, three hundred thousand, four hundred sixteen".
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