Base | Representation |
---|---|
bin | 1011100100101101010000 |
3 | 12201010210000 |
4 | 23210231100 |
5 | 1234041221 |
6 | 145010000 |
7 | 34534203 |
oct | 13445520 |
9 | 5633700 |
10 | 3033936 |
11 | 1792494 |
12 | 1023900 |
13 | 822c39 |
14 | 58d93a |
15 | 3ede26 |
hex | 2e4b50 |
3033936 has 50 divisors (see below), whose sum is σ = 8784842. Its totient is φ = 1010880.
The previous prime is 3033931. The next prime is 3033941. The reversal of 3033936 is 6393303.
It is an interprime number because it is at equal distance from previous prime (3033931) and next prime (3033941).
It can be written as a sum of positive squares in only one way, i.e., 2742336 + 291600 = 1656^2 + 540^2 .
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (3033931) by changing a digit.
It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 126 + ... + 2466.
Almost surely, 23033936 is an apocalyptic number.
3033936 is a gapful number since it is divisible by the number (36) 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 3033936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4392421).
3033936 is an abundant number, since it is smaller than the sum of its proper divisors (5750906).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3033936 is a wasteful number, since it uses less digits than its factorization.
3033936 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2361 (or 2346 counting only the distinct ones).
The product of its (nonzero) digits is 4374, while the sum is 27.
The square root of 3033936 is about 1741.8197380900. The cubic root of 3033936 is about 144.7667434792.
It can be divided in two parts, 3033 and 936, that added together give a square (3969 = 632).
The spelling of 3033936 in words is "three million, thirty-three thousand, nine hundred thirty-six".
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