Base | Representation |
---|---|
bin | 11011101100011… |
… | …01000010101100 |
3 | 121012010201112100 |
4 | 31312031002230 |
5 | 433433004004 |
6 | 35015135100 |
7 | 5520425250 |
oct | 1566150254 |
9 | 535121470 |
10 | 232313004 |
11 | 10a153220 |
12 | 65974490 |
13 | 3918c021 |
14 | 22bd4260 |
15 | 155dd739 |
hex | dd8d0ac |
232313004 has 144 divisors (see below), whose sum is σ = 749548800. Its totient is φ = 58907520.
The previous prime is 232312999. The next prime is 232313021. The reversal of 232313004 is 400313232.
232313004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-3 number, since 3×2323130043 (a number of 26 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118222 + ... + 120170.
It is an arithmetic number, because the mean of its divisors is an integer number (5205200).
Almost surely, 2232313004 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 232313004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374774400).
232313004 is an abundant number, since it is smaller than the sum of its proper divisors (517235796).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
232313004 is a wasteful number, since it uses less digits than its factorization.
232313004 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2020 (or 2015 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 18.
The square root of 232313004 is about 15241.8176081463. The cubic root of 232313004 is about 614.7395764329.
Adding to 232313004 its reverse (400313232), we get a palindrome (632626236).
It can be divided in two parts, 232 and 313004, that added together give a triangular number (313236 = T791).
The spelling of 232313004 in words is "two hundred thirty-two million, three hundred thirteen thousand, four".
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