Base | Representation |
---|---|
bin | 11001001111001… |
… | …111000100101000 |
3 | 1002111202011221100 |
4 | 121033033010220 |
5 | 1331344034141 |
6 | 110003241400 |
7 | 13331022111 |
oct | 3117170450 |
9 | 1074664840 |
10 | 423424296 |
11 | 1a8014a39 |
12 | b9979260 |
13 | 69953529 |
14 | 40341208 |
15 | 2728e0b6 |
hex | 193cf128 |
423424296 has 72 divisors (see below), whose sum is σ = 1198909530. Its totient is φ = 134992704.
The previous prime is 423424283. The next prime is 423424307. The reversal of 423424296 is 692424324.
It can be written as a sum of positive squares in only one way, i.e., 411521796 + 11902500 = 20286^2 + 3450^2 .
It is a tau number, because it is divible by the number of its divisors (72).
It is a super-3 number, since 3×4234242963 (a number of 27 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 423424296.
It is an unprimeable number.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 32530 + ... + 43646.
Almost surely, 2423424296 is an apocalyptic number.
423424296 is a gapful number since it is divisible by the number (46) 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 423424296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599454765).
423424296 is an abundant number, since it is smaller than the sum of its proper divisors (775485234).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
423424296 is a wasteful number, since it uses less digits than its factorization.
423424296 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 11175 (or 11145 counting only the distinct ones).
The product of its digits is 82944, while the sum is 36.
The square root of 423424296 is about 20577.2762045903. The cubic root of 423424296 is about 750.9169797406.
The spelling of 423424296 in words is "four hundred twenty-three million, four hundred twenty-four thousand, two hundred ninety-six".
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