| Base | Representation |
|---|---|
| bin | 11001000011011… |
| … | …111001001010000 |
| 3 | 1002021221201010010 |
| 4 | 121003133021100 |
| 5 | 1330102010100 |
| 6 | 105413234520 |
| 7 | 13262603610 |
| oct | 3103371120 |
| 9 | 1067851103 |
| 10 | 420344400 |
| 11 | 1a6300a73 |
| 12 | b8932a40 |
| 13 | 691156c8 |
| 14 | 3db7ca40 |
| 15 | 26d81750 |
| hex | 190df250 |
420344400 has 240 divisors, whose sum is σ = 1553345024. Its totient is φ = 95178240.
The previous prime is 420344377. The next prime is 420344411. The reversal of 420344400 is 4443024.
420344400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (240).
It is a super-2 number, since 2×4203444002 = 353378829222720000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (21).
It is a congruent number.
It is an unprimeable number.
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 47 ways as a sum of consecutive naturals, for example, 1369047 + ... + 1369353.
Almost surely, 2420344400 is an apocalyptic number.
420344400 is a gapful number since it is divisible by the number (40) 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 420344400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776672512).
420344400 is an abundant number, since it is smaller than the sum of its proper divisors (1133000624).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
420344400 is a wasteful number, since it uses less digits than its factorization.
420344400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 498 (or 487 counting only the distinct ones).
The product of its (nonzero) digits is 1536, while the sum is 21.
The square root of 420344400 is about 20502.3023097407. The cubic root of 420344400 is about 749.0918786424.
Adding to 420344400 its reverse (4443024), we get a palindrome (424787424).
The spelling of 420344400 in words is "four hundred twenty million, three hundred forty-four thousand, four hundred".
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