Base | Representation |
---|---|
bin | 1100101000011000100000 |
3 | 20020020000200 |
4 | 30220120200 |
5 | 1321424021 |
6 | 154545200 |
7 | 40100313 |
oct | 14503040 |
9 | 6206020 |
10 | 3311136 |
11 | 1961784 |
12 | 1138200 |
13 | 8bc16a |
14 | 62297a |
15 | 456126 |
hex | 328620 |
3311136 has 36 divisors (see below), whose sum is σ = 9416862. Its totient is φ = 1103616.
The previous prime is 3311131. The next prime is 3311137. The reversal of 3311136 is 6311133.
It can be written as a sum of positive squares in only one way, i.e., 2702736 + 608400 = 1644^2 + 780^2 .
It is a tau number, because it is divible by the number of its divisors (36).
It is a super-2 number, since 2×33111362 = 21927243220992, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (3311131) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5461 + ... + 6036.
Almost surely, 23311136 is an apocalyptic number.
3311136 is a gapful number since it is divisible by the number (36) formed by its first and last digit.
It is an amenable number.
3311136 is an abundant number, since it is smaller than the sum of its proper divisors (6105726).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3311136 is a wasteful number, since it uses less digits than its factorization.
3311136 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 11513 (or 11502 counting only the distinct ones).
The product of its digits is 162, while the sum is 18.
The square root of 3311136 is about 1819.6527141188. The cubic root of 3311136 is about 149.0478353386.
Adding to 3311136 its reverse (6311133), we get a palindrome (9622269).
The spelling of 3311136 in words is "three million, three hundred eleven thousand, one hundred thirty-six".
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