Base | Representation |
---|---|
bin | 111111001100… |
… | …0101101001100 |
3 | 2022100020122200 |
4 | 1332120231030 |
5 | 31440200330 |
6 | 3142041500 |
7 | 551416554 |
oct | 176305514 |
9 | 68306580 |
10 | 33131340 |
11 | 1777a080 |
12 | b119290 |
13 | 6b30358 |
14 | 4586164 |
15 | 2d96a60 |
hex | 1f98b4c |
33131340 has 144 divisors (see below), whose sum is σ = 113611680. Its totient is φ = 7741440.
The previous prime is 33131323. The next prime is 33131387. The reversal of 33131340 is 4313133.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57132 + ... + 57708.
It is an arithmetic number, because the mean of its divisors is an integer number (788970).
Almost surely, 233131340 is an apocalyptic number.
33131340 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 33131340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56805840).
33131340 is an abundant number, since it is smaller than the sum of its proper divisors (80480340).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
33131340 is a wasteful number, since it uses less digits than its factorization.
33131340 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 632 (or 627 counting only the distinct ones).
The product of its (nonzero) digits is 324, while the sum is 18.
The square root of 33131340 is about 5755.9829742625. The cubic root of 33131340 is about 321.1784025920.
Adding to 33131340 its reverse (4313133), we get a palindrome (37444473).
The spelling of 33131340 in words is "thirty-three million, one hundred thirty-one thousand, three hundred forty".
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