| Base | Representation |
|---|---|
| bin | 11111100000110… |
| … | …00101001010100 |
| 3 | 200102101222012011 |
| 4 | 33300120221110 |
| 5 | 1020132421400 |
| 6 | 42121434004 |
| 7 | 6356604451 |
| oct | 1760305124 |
| 9 | 612358164 |
| 10 | 264342100 |
| 11 | 12623a150 |
| 12 | 7463b904 |
| 13 | 429c4759 |
| 14 | 27170828 |
| 15 | 183188ba |
| hex | fc18a54 |
264342100 has 72 divisors (see below), whose sum is σ = 639209088. Its totient is φ = 94060800.
The previous prime is 264342083. The next prime is 264342101. The reversal of 264342100 is 1243462.
It is a happy number.
264342100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (22).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (264342101) 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, 49144 + ... + 54256.
It is an arithmetic number, because the mean of its divisors is an integer number (8877904).
Almost surely, 2264342100 is an apocalyptic number.
264342100 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 264342100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319604544).
264342100 is an abundant number, since it is smaller than the sum of its proper divisors (374866988).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
264342100 is a wasteful number, since it uses less digits than its factorization.
264342100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5185 (or 5178 counting only the distinct ones).
The product of its (nonzero) digits is 1152, while the sum is 22.
The square root of 264342100 is about 16258.6008008069. The cubic root of 264342100 is about 641.7838417223.
Adding to 264342100 its reverse (1243462), we get a palindrome (265585562).
The spelling of 264342100 in words is "two hundred sixty-four million, three hundred forty-two thousand, one hundred".
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