| Base | Representation |
|---|---|
| bin | 111111000010… |
| … | …1011010100000 |
| 3 | 2022012020021000 |
| 4 | 1332011122200 |
| 5 | 31430133240 |
| 6 | 3140232000 |
| 7 | 550640310 |
| oct | 176053240 |
| 9 | 68166230 |
| 10 | 33052320 |
| 11 | 17725774 |
| 12 | b09b600 |
| 13 | 6b033b2 |
| 14 | 4565440 |
| 15 | 2d7d430 |
| hex | 1f856a0 |
33052320 has 192 divisors, whose sum is σ = 132330240. Its totient is φ = 7547904.
The previous prime is 33052319. The next prime is 33052321. The reversal of 33052320 is 2325033.
It is an interprime number because it is at equal distance from previous prime (33052319) and next prime (33052321).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 33052293 and 33052302.
It is not an unprimeable number, because it can be changed into a prime (33052321) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29694 + ... + 30786.
It is an arithmetic number, because the mean of its divisors is an integer number (689220).
Almost surely, 233052320 is an apocalyptic number.
33052320 is a gapful number since it is divisible by the number (30) 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 33052320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66165120).
33052320 is an abundant number, since it is smaller than the sum of its proper divisors (99277920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
33052320 is a wasteful number, since it uses less digits than its factorization.
33052320 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1124 (or 1110 counting only the distinct ones).
The product of its (nonzero) digits is 540, while the sum is 18.
The square root of 33052320 is about 5749.1147144582. The cubic root of 33052320 is about 320.9228568226.
Adding to 33052320 its reverse (2325033), we get a palindrome (35377353).
It can be divided in two parts, 3305 and 2320, that added together give a square (5625 = 752).
The spelling of 33052320 in words is "thirty-three million, fifty-two thousand, three hundred twenty".
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