| Base | Representation |
|---|---|
| bin | 11100111000111… |
| … | …00101010100000 |
| 3 | 121220000001212200 |
| 4 | 32130130222200 |
| 5 | 444014312324 |
| 6 | 40014053200 |
| 7 | 6001562064 |
| oct | 1634345240 |
| 9 | 556001780 |
| 10 | 242338464 |
| 11 | 114880525 |
| 12 | 691aa200 |
| 13 | 3b28c354 |
| 14 | 24283aa4 |
| 15 | 1641dec9 |
| hex | e71caa0 |
242338464 has 144 divisors (see below), whose sum is σ = 737362080. Its totient is φ = 75271680.
The previous prime is 242338433. The next prime is 242338469. The reversal of 242338464 is 464833242.
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×2423384642 = 117455862267758592, which contains 22 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 not an unprimeable number, because it can be changed into a prime (242338469) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 366294 + ... + 366954.
It is an arithmetic number, because the mean of its divisors is an integer number (5120570).
Almost surely, 2242338464 is an apocalyptic number.
242338464 is a gapful number since it is divisible by the number (24) 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 242338464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368681040).
242338464 is an abundant number, since it is smaller than the sum of its proper divisors (495023616).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
242338464 is a wasteful number, since it uses less digits than its factorization.
242338464 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 763 (or 752 counting only the distinct ones).
The product of its digits is 110592, while the sum is 36.
The square root of 242338464 is about 15567.2240299933. The cubic root of 242338464 is about 623.4583564093.
The spelling of 242338464 in words is "two hundred forty-two million, three hundred thirty-eight thousand, four hundred sixty-four".
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