| Base | Representation |
|---|---|
| bin | 10111111110110… |
| … | …001001100110100 |
| 3 | 1001001001111120200 |
| 4 | 113332301030310 |
| 5 | 1310444033140 |
| 6 | 103531200500 |
| 7 | 12653515662 |
| oct | 2776611464 |
| 9 | 1031044520 |
| 10 | 402330420 |
| 11 | 197117888 |
| 12 | b28a6130 |
| 13 | 6547924b |
| 14 | 3b60dc32 |
| 15 | 254c4030 |
| hex | 17fb1334 |
402330420 has 144 divisors (see below), whose sum is σ = 1255664592. Its totient is φ = 104232960.
The previous prime is 402330419. The next prime is 402330433. The reversal of 402330420 is 24033204.
It can be written as a sum of positive squares in 8 ways, for example, as 77898276 + 324432144 = 8826^2 + 18012^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 402330393 and 402330402.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1726624 + ... + 1726856.
It is an arithmetic number, because the mean of its divisors is an integer number (8719893).
Almost surely, 2402330420 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 402330420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627832296).
402330420 is an abundant number, since it is smaller than the sum of its proper divisors (853334172).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
402330420 is a wasteful number, since it uses less digits than its factorization.
402330420 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 482 (or 477 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 18.
The square root of 402330420 is about 20058.1758891480. The cubic root of 402330420 is about 738.2344199892.
Adding to 402330420 its reverse (24033204), we get a palindrome (426363624).
It can be divided in two parts, 4023 and 30420, that added together give a palindrome (34443).
The spelling of 402330420 in words is "four hundred two million, three hundred thirty thousand, four hundred twenty".
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