Base | Representation |
---|---|
bin | 1000101101010000… |
… | …0001011010000000 |
3 | 20000220000012200120 |
4 | 2023110001122000 |
5 | 14241321003124 |
6 | 1023532020240 |
7 | 111630365154 |
oct | 21324013200 |
9 | 6026005616 |
10 | 2337281664 |
11 | a9a375343 |
12 | 552901680 |
13 | 2b32c9603 |
14 | 1825b5064 |
15 | da2d7d79 |
hex | 8b501680 |
2337281664 has 64 divisors (see below), whose sum is σ = 6253212000. Its totient is φ = 773471232.
The previous prime is 2337281663. The next prime is 2337281671. The reversal of 2337281664 is 4661827332.
It is a tau number, because it is divible by the number of its divisors (64).
It is not an unprimeable number, because it can be changed into a prime (2337281663) 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, 31482 + ... + 75270.
Almost surely, 22337281664 is an apocalyptic number.
2337281664 is a gapful number since it is divisible by the number (24) 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 2337281664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3126606000).
2337281664 is an abundant number, since it is smaller than the sum of its proper divisors (3915930336).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2337281664 is a wasteful number, since it uses less digits than its factorization.
2337281664 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 43945 (or 43933 counting only the distinct ones).
The product of its digits is 290304, while the sum is 42.
The square root of 2337281664 is about 48345.4409846471. The cubic root of 2337281664 is about 1327.1001064598.
The spelling of 2337281664 in words is "two billion, three hundred thirty-seven million, two hundred eighty-one thousand, six hundred sixty-four".
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