Base | Representation |
---|---|
bin | 11100100111001… |
… | …00101100000000 |
3 | 121201121212121112 |
4 | 32103210230000 |
5 | 442420341112 |
6 | 35452142452 |
7 | 5643032351 |
oct | 1623445400 |
9 | 551555545 |
10 | 240012032 |
11 | 113531657 |
12 | 68467a28 |
13 | 3a956470 |
14 | 23c39d28 |
15 | 1610ea22 |
hex | e4e4b00 |
240012032 has 72 divisors (see below), whose sum is σ = 528823680. Its totient is φ = 108011520.
The previous prime is 240012011. The next prime is 240012067. The reversal of 240012032 is 230210042.
It is a junction number, because it is equal to n+sod(n) for n = 240011998 and 240012016.
It is a congruent number.
It is an unprimeable number.
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 7 ways as a sum of consecutive naturals, for example, 135569 + ... + 137327.
Almost surely, 2240012032 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 240012032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264411840).
240012032 is an abundant number, since it is smaller than the sum of its proper divisors (288811648).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
240012032 is a wasteful number, since it uses less digits than its factorization.
240012032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1829 (or 1815 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 14.
The square root of 240012032 is about 15492.3217110929. The cubic root of 240012032 is about 621.4568860788.
Adding to 240012032 its reverse (230210042), we get a palindrome (470222074).
The spelling of 240012032 in words is "two hundred forty million, twelve thousand, thirty-two".
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