Base | Representation |
---|---|
bin | 11011101111001… |
… | …00011101000000 |
3 | 121012210220122221 |
4 | 31313210131000 |
5 | 434030433130 |
6 | 35030540424 |
7 | 5523446140 |
oct | 1567443500 |
9 | 535726587 |
10 | 232671040 |
11 | 10a378218 |
12 | 65b07714 |
13 | 39285c94 |
14 | 22c88920 |
15 | 1565e87a |
hex | dde4740 |
232671040 has 112 divisors (see below), whose sum is σ = 637300224. Its totient is φ = 79257600.
The previous prime is 232671029. The next prime is 232671053. The reversal of 232671040 is 40176232.
232671040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (112).
It is a junction number, because it is equal to n+sod(n) for n = 232670996 and 232671014.
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, 539625 + ... + 540055.
Almost surely, 2232671040 is an apocalyptic number.
232671040 is a gapful number since it is divisible by the number (20) 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 232671040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318650112).
232671040 is an abundant number, since it is smaller than the sum of its proper divisors (404629184).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
232671040 is a wasteful number, since it uses less digits than its factorization.
232671040 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 696 (or 686 counting only the distinct ones).
The product of its (nonzero) digits is 2016, while the sum is 25.
The square root of 232671040 is about 15253.5582733997. The cubic root of 232671040 is about 615.0552223090.
The spelling of 232671040 in words is "two hundred thirty-two million, six hundred seventy-one thousand, forty".
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