Base | Representation |
---|---|
bin | 1000110110001110… |
… | …1000111001000000 |
3 | 20010111211221110210 |
4 | 2031203220321000 |
5 | 14330440224414 |
6 | 1031354554120 |
7 | 112565400060 |
oct | 21543507100 |
9 | 6114757423 |
10 | 2374929984 |
11 | 100964a059 |
12 | 563438940 |
13 | 2bb04b91b |
14 | 1875b53a0 |
15 | dd772e59 |
hex | 8d8e8e40 |
2374929984 has 112 divisors (see below), whose sum is σ = 7209129600. Its totient is φ = 675926016.
The previous prime is 2374929983. The next prime is 2374930007. The reversal of 2374929984 is 4899294732.
It is a tau number, because it is divible by the number of its divisors (112).
It is not an unprimeable number, because it can be changed into a prime (2374929983) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 358252 + ... + 364820.
Almost surely, 22374929984 is an apocalyptic number.
2374929984 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 2374929984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3604564800).
2374929984 is an abundant number, since it is smaller than the sum of its proper divisors (4834199616).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2374929984 is a wasteful number, since it uses less digits than its factorization.
2374929984 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6860 (or 6850 counting only the distinct ones).
The product of its digits is 7838208, while the sum is 57.
The square root of 2374929984 is about 48733.2533697474. The cubic root of 2374929984 is about 1334.1877132981.
The spelling of 2374929984 in words is "two billion, three hundred seventy-four million, nine hundred twenty-nine thousand, nine hundred eighty-four".
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