Base | Representation |
---|---|
bin | 1000100101010101… |
… | …1110100101100100 |
3 | 12221120120212012200 |
4 | 2021111132211210 |
5 | 14204322441100 |
6 | 1020345014500 |
7 | 111045413442 |
oct | 21125364544 |
9 | 5846525180 |
10 | 2304108900 |
11 | a82678135 |
12 | 543784430 |
13 | 2a9483462 |
14 | 17c01bb92 |
15 | d7433e00 |
hex | 8955e964 |
2304108900 has 108 divisors (see below), whose sum is σ = 7296832452. Its totient is φ = 608071680.
The previous prime is 2304108869. The next prime is 2304108913. The reversal of 2304108900 is 98014032.
It can be written as a sum of positive squares in 6 ways, for example, as 90782784 + 2213326116 = 9528^2 + 47046^2 .
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 74104 + ... + 100496.
Almost surely, 22304108900 is an apocalyptic number.
2304108900 is a gapful number since it is divisible by the number (20) 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 2304108900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3648416226).
2304108900 is an abundant number, since it is smaller than the sum of its proper divisors (4992723552).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2304108900 is a wasteful number, since it uses less digits than its factorization.
2304108900 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 26510 (or 26500 counting only the distinct ones).
The product of its (nonzero) digits is 1728, while the sum is 27.
The square root of 2304108900 is about 48001.1343615961. The cubic root of 2304108900 is about 1320.7917082507.
It can be divided in two parts, 2304 and 108900, that multiplied together give a square (250905600 = 158402).
The spelling of 2304108900 in words is "two billion, three hundred four million, one hundred eight thousand, nine hundred".
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