Base | Representation |
---|---|
bin | 10010000011111… |
… | …110100000010100 |
3 | 210010012122020000 |
4 | 102003332200110 |
5 | 1110034013330 |
6 | 50023011300 |
7 | 10336506132 |
oct | 2203764024 |
9 | 703178200 |
10 | 303032340 |
11 | 146065756 |
12 | 85599b30 |
13 | 4aa200a0 |
14 | 2c362752 |
15 | 1b90c560 |
hex | 120fe814 |
303032340 has 120 divisors (see below), whose sum is σ = 1023819720. Its totient is φ = 74587392.
The previous prime is 303032333. The next prime is 303032351. The reversal of 303032340 is 43230303.
303032340 is a `hidden beast` number, since 303 + 0 + 323 + 40 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 63504 + 302968836 = 252^2 + 17406^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13866 + ... + 28254.
It is an arithmetic number, because the mean of its divisors is an integer number (8531831).
Almost surely, 2303032340 is an apocalyptic number.
303032340 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 303032340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511909860).
303032340 is an abundant number, since it is smaller than the sum of its proper divisors (720787380).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
303032340 is a wasteful number, since it uses less digits than its factorization.
303032340 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 14423 (or 14412 counting only the distinct ones).
The product of its (nonzero) digits is 648, while the sum is 18.
The square root of 303032340 is about 17407.8241029716. The cubic root of 303032340 is about 671.6808912202.
Adding to 303032340 its reverse (43230303), we get a palindrome (346262643).
The spelling of 303032340 in words is "three hundred three million, thirty-two thousand, three hundred forty".
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