Base | Representation |
---|---|
bin | 100110110111101… |
… | …0010000100010000 |
3 | 10100220011021111000 |
4 | 1031233102010100 |
5 | 10132341143100 |
6 | 333230222000 |
7 | 44214601101 |
oct | 11557220420 |
9 | 3326137430 |
10 | 1304240400 |
11 | 60a234131 |
12 | 304954900 |
13 | 17a2910a8 |
14 | c53063a8 |
15 | 7977b900 |
hex | 4dbd2110 |
1304240400 has 120 divisors (see below), whose sum is σ = 4642168160. Its totient is φ = 347794560.
The previous prime is 1304240387. The next prime is 1304240423. The reversal of 1304240400 is 40424031.
It is a tau number, because it is divible by the number of its divisors (120).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is an unprimeable number.
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, 49582 + ... + 71181.
Almost surely, 21304240400 is an apocalyptic number.
1304240400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
1304240400 is an abundant number, since it is smaller than the sum of its proper divisors (3337927760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1304240400 is a wasteful number, since it uses less digits than its factorization.
1304240400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 120790 (or 120773 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 18.
The square root of 1304240400 is about 36114.2686482781. The cubic root of 1304240400 is about 1092.5782470614.
Adding to 1304240400 its reverse (40424031), we get a palindrome (1344664431).
The spelling of 1304240400 in words is "one billion, three hundred four million, two hundred forty thousand, four hundred".
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