| Base | Representation |
|---|---|
| bin | 10101100011110… |
| … | …000000100000000 |
| 3 | 221012120221010100 |
| 4 | 111203300010000 |
| 5 | 1220043142230 |
| 6 | 55520202400 |
| 7 | 11651225553 |
| oct | 2543600400 |
| 9 | 835527110 |
| 10 | 361693440 |
| 11 | 1761916a9 |
| 12 | a1169400 |
| 13 | 59c1b7b4 |
| 14 | 3607269a |
| 15 | 21b48660 |
| hex | 158f0100 |
361693440 has 108 divisors (see below), whose sum is σ = 1251461484. Its totient is φ = 96448512.
The previous prime is 361693427. The next prime is 361693441. The reversal of 361693440 is 44396163.
361693440 is a `hidden beast` number, since 3 + 616 + 9 + 34 + 4 + 0 = 666.
361693440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 2 ways, for example, as 141705216 + 219988224 = 11904^2 + 14832^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 361693395 and 361693404.
It is not an unprimeable number, because it can be changed into a prime (361693441) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4179 + ... + 27218.
Almost surely, 2361693440 is an apocalyptic number.
361693440 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 361693440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625730742).
361693440 is an abundant number, since it is smaller than the sum of its proper divisors (889768044).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
361693440 is a wasteful number, since it uses less digits than its factorization.
361693440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 31424 (or 31407 counting only the distinct ones).
The product of its (nonzero) digits is 46656, while the sum is 36.
The square root of 361693440 is about 19018.2396661731. The cubic root of 361693440 is about 712.4923581821.
The spelling of 361693440 in words is "three hundred sixty-one million, six hundred ninety-three thousand, four hundred forty".
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