Base | Representation |
---|---|
bin | 1001000001000011… |
… | …0111111010011110 |
3 | 20020200022010122020 |
4 | 2100100313322132 |
5 | 14424101424210 |
6 | 1040100201010 |
7 | 113656366632 |
oct | 22020677236 |
9 | 6220263566 |
10 | 2420342430 |
11 | 1032247100 |
12 | 576699166 |
13 | 2c758bbac |
14 | 18d636dc2 |
15 | e2743770 |
hex | 90437e9e |
2420342430 has 96 divisors (see below), whose sum is σ = 6475521024. Its totient is φ = 578424000.
The previous prime is 2420342429. The next prime is 2420342443. The reversal of 2420342430 is 342430242.
2420342430 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
It is a self number, because there is not a number n which added to its sum of digits gives 2420342430.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 253035 + ... + 262425.
It is an arithmetic number, because the mean of its divisors is an integer number (67453344).
Almost surely, 22420342430 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2420342430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3237760512).
2420342430 is an abundant number, since it is smaller than the sum of its proper divisors (4055178594).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2420342430 is a wasteful number, since it uses less digits than its factorization.
2420342430 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 9494 (or 9483 counting only the distinct ones).
The product of its (nonzero) digits is 4608, while the sum is 24.
The square root of 2420342430 is about 49196.9758216905. The cubic root of 2420342430 is about 1342.6380107036.
Adding to 2420342430 its reverse (342430242), we get a palindrome (2762772672).
The spelling of 2420342430 in words is "two billion, four hundred twenty million, three hundred forty-two thousand, four hundred thirty".
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