| Base | Representation |
|---|---|
| bin | 11000100111001… |
| … | …110001001101000 |
| 3 | 1001210000021000000 |
| 4 | 120213032021220 |
| 5 | 1321202403020 |
| 6 | 104550343000 |
| 7 | 13142613300 |
| oct | 3047161150 |
| 9 | 1053007000 |
| 10 | 412934760 |
| 11 | 1a20aaaa7 |
| 12 | b635aa60 |
| 13 | 6771cbc4 |
| 14 | 3cbb0600 |
| 15 | 263bb090 |
| hex | 189ce268 |
412934760 has 504 divisors, whose sum is σ = 1721376630. Its totient is φ = 88833024.
The previous prime is 412934759. The next prime is 412934761. The reversal of 412934760 is 67439214.
It is an interprime number because it is at equal distance from previous prime (412934759) and next prime (412934761).
It can be written as a sum of positive squares in 3 ways, for example, as 401361156 + 11573604 = 20034^2 + 3402^2 .
It is a tau number, because it is divible by the number of its divisors (504).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (412934761) 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 125 ways as a sum of consecutive naturals, for example, 24290272 + ... + 24290288.
Almost surely, 2412934760 is an apocalyptic number.
412934760 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 412934760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860688315).
412934760 is an abundant number, since it is smaller than the sum of its proper divisors (1308441870).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
412934760 is a wasteful number, since it uses less digits than its factorization.
412934760 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 77 (or 34 counting only the distinct ones).
The product of its (nonzero) digits is 36288, while the sum is 36.
The square root of 412934760 is about 20320.7962442420. The cubic root of 412934760 is about 744.6642091373.
The spelling of 412934760 in words is "four hundred twelve million, nine hundred thirty-four thousand, seven hundred sixty".
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