Base | Representation |
---|---|
bin | 11000000011111… |
… | …010001110000000 |
3 | 1001010120222020000 |
4 | 120003322032000 |
5 | 1311320144310 |
6 | 104020120000 |
7 | 13001131011 |
oct | 3003721600 |
9 | 1033528200 |
10 | 403678080 |
11 | 197958353 |
12 | b3236000 |
13 | 6582b790 |
14 | 3b881008 |
15 | 2568d4c0 |
hex | 180fa380 |
403678080 has 320 divisors, whose sum is σ = 1555092000. Its totient is φ = 99201024.
The previous prime is 403678061. The next prime is 403678081. The reversal of 403678080 is 80876304.
It is a tau number, because it is divible by the number of its divisors (320).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (403678081) by changing a digit.
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 39 ways as a sum of consecutive naturals, for example, 673621 + ... + 674219.
Almost surely, 2403678080 is an apocalyptic number.
403678080 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 403678080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777546000).
403678080 is an abundant number, since it is smaller than the sum of its proper divisors (1151413920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
403678080 is a wasteful number, since it uses less digits than its factorization.
403678080 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 643 (or 622 counting only the distinct ones).
The product of its (nonzero) digits is 32256, while the sum is 36.
The square root of 403678080 is about 20091.7415870302. The cubic root of 403678080 is about 739.0577732774.
The spelling of 403678080 in words is "four hundred three million, six hundred seventy-eight thousand, eighty".
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