| Base | Representation |
|---|---|
| bin | 11001000011011… |
| … | …110000101000000 |
| 3 | 1002021221111010100 |
| 4 | 121003132011000 |
| 5 | 1330101340112 |
| 6 | 105413202400 |
| 7 | 13262555100 |
| oct | 3103360500 |
| 9 | 1067844110 |
| 10 | 420340032 |
| 11 | 1a62a8762 |
| 12 | b8930400 |
| 13 | 69113718 |
| 14 | 3db7b200 |
| 15 | 26d802dc |
| hex | 190de140 |
420340032 has 252 divisors, whose sum is σ = 1433061396. Its totient is φ = 117411840.
The previous prime is 420339991. The next prime is 420340043. The reversal of 420340032 is 230043024.
It can be written as a sum of positive squares in 2 ways, for example, as 293642496 + 126697536 = 17136^2 + 11256^2 .
It is a tau number, because it is divible by the number of its divisors (252).
It is a super-2 number, since 2×4203400322 = 353371485003522048, which contains 22 as substring.
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 = 420339987 and 420340014.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1495732 + ... + 1496012.
Almost surely, 2420340032 is an apocalyptic number.
420340032 is a gapful number since it is divisible by the number (42) 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 420340032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716530698).
420340032 is an abundant number, since it is smaller than the sum of its proper divisors (1012721364).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
420340032 is a wasteful number, since it uses less digits than its factorization.
420340032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 366 (or 346 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 18.
The square root of 420340032 is about 20502.1957848422. The cubic root of 420340032 is about 749.0892839092.
Adding to 420340032 its reverse (230043024), we get a palindrome (650383056).
The spelling of 420340032 in words is "four hundred twenty million, three hundred forty thousand, thirty-two".
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