Base | Representation |
---|---|
bin | 111100010011010… |
… | …0000111110100000 |
3 | 12020000022110111112 |
4 | 1320212200332200 |
5 | 13120440044324 |
6 | 532435402452 |
7 | 101066203634 |
oct | 17046407640 |
9 | 5200273445 |
10 | 2023362464 |
11 | 949154192 |
12 | 485753428 |
13 | 2632670c6 |
14 | 152a1adc4 |
15 | bc979c0e |
hex | 789a0fa0 |
2023362464 has 48 divisors (see below), whose sum is σ = 4191041736. Its totient is φ = 960307200.
The previous prime is 2023362449. The next prime is 2023362469. The reversal of 2023362464 is 4642633202.
It can be written as a sum of positive squares in 4 ways, for example, as 1892946064 + 130416400 = 43508^2 + 11420^2 .
It is a Harshad number since it is a multiple of its sum of digits (32).
It is a self number, because there is not a number n which added to its sum of digits gives 2023362464.
It is not an unprimeable number, because it can be changed into a prime (2023362469) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27704 + ... + 69384.
Almost surely, 22023362464 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 2023362464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2095520868).
2023362464 is an abundant number, since it is smaller than the sum of its proper divisors (2167679272).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2023362464 is a wasteful number, since it uses less digits than its factorization.
2023362464 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 41769 (or 41761 counting only the distinct ones).
The product of its (nonzero) digits is 41472, while the sum is 32.
The square root of 2023362464 is about 44981.8014757079. The cubic root of 2023362464 is about 1264.8078809615.
Adding to 2023362464 its reverse (4642633202), we get a palindrome (6665995666).
The spelling of 2023362464 in words is "two billion, twenty-three million, three hundred sixty-two thousand, four hundred sixty-four".
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