Base | Representation |
---|---|
bin | 1100100001110110… |
… | …1111100010100100 |
3 | 22200101112022002011 |
4 | 3020131233202210 |
5 | 23341442140400 |
6 | 1313421524004 |
7 | 146226032503 |
oct | 31035574244 |
9 | 8611468064 |
10 | 3363240100 |
11 | 1476509080 |
12 | 79a413604 |
13 | 417a24ccc |
14 | 23c95c83a |
15 | 14a3e58ba |
hex | c876f8a4 |
3363240100 has 72 divisors (see below), whose sum is σ = 8131229568. Its totient is φ = 1196956800.
The previous prime is 3363240029. The next prime is 3363240119. The reversal of 3363240100 is 10423633.
3363240100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×33632401002 = 22622767940496020000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (22).
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19174 + ... + 84226.
It is an arithmetic number, because the mean of its divisors is an integer number (112933744).
Almost surely, 23363240100 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 3363240100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4065614784).
3363240100 is an abundant number, since it is smaller than the sum of its proper divisors (4767989468).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3363240100 is a wasteful number, since it uses less digits than its factorization.
3363240100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 65125 (or 65118 counting only the distinct ones).
The product of its (nonzero) digits is 1296, while the sum is 22.
The square root of 3363240100 is about 57993.4487679427. The cubic root of 3363240100 is about 1498.2557651419.
Adding to 3363240100 its reverse (10423633), we get a palindrome (3373663733).
The spelling of 3363240100 in words is "three billion, three hundred sixty-three million, two hundred forty thousand, one hundred".
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