Base | Representation |
---|---|
bin | 10010001000100… |
… | …111000010100000 |
3 | 210012111100100100 |
4 | 102020213002200 |
5 | 1110341400234 |
6 | 50105022400 |
7 | 10353025221 |
oct | 2210470240 |
9 | 705440310 |
10 | 304246944 |
11 | 146815261 |
12 | 85a84a00 |
13 | 4b056ba1 |
14 | 2c59b248 |
15 | 1ba9c399 |
hex | 122270a0 |
304246944 has 108 divisors (see below), whose sum is σ = 904908186. Its totient is φ = 96957696.
The previous prime is 304246939. The next prime is 304246949. The reversal of 304246944 is 449642403.
It is an interprime number because it is at equal distance from previous prime (304246939) and next prime (304246949).
It can be written as a sum of positive squares in only one way, i.e., 302342544 + 1904400 = 17388^2 + 1380^2 .
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
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 = 304246899 and 304246908.
It is not an unprimeable number, because it can be changed into a prime (304246949) by changing a digit.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 151354 + ... + 153350.
Almost surely, 2304246944 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 304246944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452454093).
304246944 is an abundant number, since it is smaller than the sum of its proper divisors (600661242).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
304246944 is a wasteful number, since it uses less digits than its factorization.
304246944 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2059 (or 2025 counting only the distinct ones).
The product of its (nonzero) digits is 82944, while the sum is 36.
The square root of 304246944 is about 17442.6759414948. The cubic root of 304246944 is about 672.5770977975.
The spelling of 304246944 in words is "three hundred four million, two hundred forty-six thousand, nine hundred forty-four".
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