| Base | Representation |
|---|---|
| bin | 11000100110110… |
| … | …111100101100000 |
| 3 | 1001202211120012220 |
| 4 | 120212313211200 |
| 5 | 1321141423321 |
| 6 | 104544351040 |
| 7 | 13142046654 |
| oct | 3046674540 |
| 9 | 1052746186 |
| 10 | 412842336 |
| 11 | 1a2047615 |
| 12 | b6315480 |
| 13 | 676b9b0a |
| 14 | 3cb88a64 |
| 15 | 2639d9c6 |
| hex | 189b7960 |
412842336 has 96 divisors (see below), whose sum is σ = 1151418240. Its totient is φ = 129153024.
The previous prime is 412842323. The next prime is 412842349. The reversal of 412842336 is 633248214.
It is an interprime number because it is at equal distance from previous prime (412842323) and next prime (412842349).
It is a tau number, because it is divible by the number of its divisors (96).
It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 412842297 and 412842306.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 205111 + ... + 207113.
It is an arithmetic number, because the mean of its divisors is an integer number (11993940).
Almost surely, 2412842336 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 412842336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575709120).
412842336 is an abundant number, since it is smaller than the sum of its proper divisors (738575904).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
412842336 is a wasteful number, since it uses less digits than its factorization.
412842336 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2148 (or 2140 counting only the distinct ones).
The product of its digits is 27648, while the sum is 33.
The square root of 412842336 is about 20318.5219934916. The cubic root of 412842336 is about 744.6086475111.
It can be divided in two parts, 4128 and 42336, that added together give a palindrome (46464).
The spelling of 412842336 in words is "four hundred twelve million, eight hundred forty-two thousand, three hundred thirty-six".
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