| Base | Representation |
|---|---|
| bin | 10101111100010… |
| … | …100101110000000 |
| 3 | 221122201012100010 |
| 4 | 111330110232000 |
| 5 | 1223220310130 |
| 6 | 100310224520 |
| 7 | 12060045000 |
| oct | 2574245600 |
| 9 | 848635303 |
| 10 | 368135040 |
| 11 | 179891339 |
| 12 | a3355140 |
| 13 | 5b3657b0 |
| 14 | 36c6c000 |
| 15 | 224bc0b0 |
| hex | 15f14b80 |
368135040 has 512 divisors, whose sum is σ = 1507968000. Its totient is φ = 75866112.
The previous prime is 368134981. The next prime is 368135041. The reversal of 368135040 is 40531863.
368135040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (30).
It is a junction number, because it is equal to n+sod(n) for n = 368134989 and 368135007.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (368135041) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8561259 + ... + 8561301.
It is an arithmetic number, because the mean of its divisors is an integer number (2945250).
Almost surely, 2368135040 is an apocalyptic number.
368135040 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 368135040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753984000).
368135040 is an abundant number, since it is smaller than the sum of its proper divisors (1139832960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
368135040 is a wasteful number, since it uses less digits than its factorization.
368135040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 99 (or 73 counting only the distinct ones).
The product of its (nonzero) digits is 8640, while the sum is 30.
The square root of 368135040 is about 19186.8454937230. The cubic root of 368135040 is about 716.6972183358.
The spelling of 368135040 in words is "three hundred sixty-eight million, one hundred thirty-five thousand, forty".
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