| Base | Representation |
|---|---|
| bin | 11100101010100… |
| … | …11001100000000 |
| 3 | 121202110212110210 |
| 4 | 32111103030000 |
| 5 | 443024332030 |
| 6 | 35505554120 |
| 7 | 5646626043 |
| oct | 1625231400 |
| 9 | 552425423 |
| 10 | 240464640 |
| 11 | 113810709 |
| 12 | 68645940 |
| 13 | 3aa84490 |
| 14 | 23d16c5a |
| 15 | 1619dbb0 |
| hex | e553300 |
240464640 has 144 divisors (see below), whose sum is σ = 827231328. Its totient is φ = 59179008.
The previous prime is 240464633. The next prime is 240464641. The reversal of 240464640 is 46464042.
It is a super-3 number, since 3×2404646403 (a number of 26 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (30).
It is a nialpdrome in base 16.
It is a junction number, because it is equal to n+sod(n) for n = 240464598 and 240464607.
It is not an unprimeable number, because it can be changed into a prime (240464641) 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 15 ways as a sum of consecutive naturals, for example, 47512 + ... + 52328.
It is an arithmetic number, because the mean of its divisors is an integer number (5744662).
Almost surely, 2240464640 is an apocalyptic number.
240464640 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 240464640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413615664).
240464640 is an abundant number, since it is smaller than the sum of its proper divisors (586766688).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
240464640 is a wasteful number, since it uses less digits than its factorization.
240464640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4854 (or 4840 counting only the distinct ones).
The product of its (nonzero) digits is 18432, while the sum is 30.
The square root of 240464640 is about 15506.9223252069. The cubic root of 240464640 is about 621.8472828063.
It can be divided in two parts, 240 and 464640, that multiplied together give a square (111513600 = 105602).
The spelling of 240464640 in words is "two hundred forty million, four hundred sixty-four thousand, six hundred forty".
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