Base | Representation |
---|---|
bin | 1000101010100… |
… | …0001010110000 |
3 | 2112101021122202 |
4 | 2022220022300 |
5 | 33300343100 |
6 | 3334522332 |
7 | 620613455 |
oct | 212501260 |
9 | 75337582 |
10 | 36340400 |
11 | 19571098 |
12 | 102063a8 |
13 | 76b4bc5 |
14 | 4b7d82c |
15 | 32cc7d5 |
hex | 22a82b0 |
36340400 has 60 divisors (see below), whose sum is σ = 89211552. Its totient is φ = 14219520.
The previous prime is 36340387. The next prime is 36340411. The reversal of 36340400 is 404363.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (20).
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17834 + ... + 19766.
Almost surely, 236340400 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 36340400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44605776).
36340400 is an abundant number, since it is smaller than the sum of its proper divisors (52871152).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
36340400 is a wasteful number, since it uses less digits than its factorization.
36340400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1998 (or 1987 counting only the distinct ones).
The product of its (nonzero) digits is 864, while the sum is 20.
The square root of 36340400 is about 6028.2999261815. The cubic root of 36340400 is about 331.2301803734.
Adding to 36340400 its reverse (404363), we get a palindrome (36744763).
The spelling of 36340400 in words is "thirty-six million, three hundred forty thousand, four hundred".
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