| Base | Representation |
|---|---|
| bin | 10010001101000… |
| … | …000100101010110 |
| 3 | 210021122221020200 |
| 4 | 102031000211112 |
| 5 | 1111140301100 |
| 6 | 50145441330 |
| 7 | 10365600306 |
| oct | 2215004526 |
| 9 | 707587220 |
| 10 | 305400150 |
| 11 | 147432720 |
| 12 | 86340246 |
| 13 | 4b36ba63 |
| 14 | 2c7bb606 |
| 15 | 1bc28e00 |
| hex | 12340956 |
305400150 has 144 divisors (see below), whose sum is σ = 905299200. Its totient is φ = 73195200.
The previous prime is 305400143. The next prime is 305400157. The reversal of 305400150 is 51004503.
It is an interprime number because it is at equal distance from previous prime (305400143) and next prime (305400157).
It is a super-3 number, since 3×3054001503 (a number of 26 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a Curzon number.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (305400157) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 509551 + ... + 510149.
It is an arithmetic number, because the mean of its divisors is an integer number (6286800).
Almost surely, 2305400150 is an apocalyptic number.
305400150 is a gapful number since it is divisible by the number (30) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 305400150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452649600).
305400150 is an abundant number, since it is smaller than the sum of its proper divisors (599899050).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
305400150 is a wasteful number, since it uses less digits than its factorization.
305400150 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 731 (or 723 counting only the distinct ones).
The product of its (nonzero) digits is 300, while the sum is 18.
The square root of 305400150 is about 17475.7017026499. The cubic root of 305400150 is about 673.4257965911.
Adding to 305400150 its reverse (51004503), we get a palindrome (356404653).
The spelling of 305400150 in words is "three hundred five million, four hundred thousand, one hundred fifty".
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