| Base | Representation |
|---|---|
| bin | 111001111000… |
| … | …0010011010000 |
| 3 | 2010002122200200 |
| 4 | 1303300103100 |
| 5 | 30232010100 |
| 6 | 3002215200 |
| 7 | 515631432 |
| oct | 163602320 |
| 9 | 63078620 |
| 10 | 30344400 |
| 11 | 16146219 |
| 12 | a1b4500 |
| 13 | 6395988 |
| 14 | 405c652 |
| 15 | 29e5e00 |
| hex | 1cf04d0 |
30344400 has 90 divisors (see below), whose sum is σ = 105315990. Its totient is φ = 8090880.
The previous prime is 30344341. The next prime is 30344407. The reversal of 30344400 is 444303.
It can be written as a sum of positive squares in 3 ways, for example, as 138384 + 30206016 = 372^2 + 5496^2 .
It is a tau number, because it is divible by the number of its divisors (90).
It is a super-2 number, since 2×303444002 = 1841565222720000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (30344407) 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 17 ways as a sum of consecutive naturals, for example, 615 + ... + 7814.
Almost surely, 230344400 is an apocalyptic number.
30344400 is a gapful number since it is divisible by the number (30) 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 30344400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52657995).
30344400 is an abundant number, since it is smaller than the sum of its proper divisors (74971590).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
30344400 is a wasteful number, since it uses less digits than its factorization.
30344400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8453 (or 8439 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 18.
The square root of 30344400 is about 5508.5751333716. The cubic root of 30344400 is about 311.9077636619.
Adding to 30344400 its reverse (444303), we get a palindrome (30788703).
The spelling of 30344400 in words is "thirty million, three hundred forty-four thousand, four hundred".
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