Base | Representation |
---|---|
bin | 11010110110000… |
… | …010011010100100 |
3 | 1011101110100000000 |
4 | 122312002122210 |
5 | 1410243421114 |
6 | 112405021300 |
7 | 14106052434 |
oct | 3266023244 |
9 | 1141410000 |
10 | 450373284 |
11 | 211251129 |
12 | 1069b4830 |
13 | 723ca88a |
14 | 43b582c4 |
15 | 29813e09 |
hex | 1ad826a4 |
450373284 has 81 divisors (see below), whose sum is σ = 1191262891. Its totient is φ = 148978440.
The previous prime is 450373279. The next prime is 450373289. The reversal of 450373284 is 482373054.
It is a happy number.
The square root of 450373284 is 21222.
It is a perfect power (a square), and thus also a powerful number.
450373284 is a `hidden beast` number, since 4 + 5 + 0 + 373 + 284 = 666.
It is an interprime number because it is at equal distance from previous prime (450373279) and next prime (450373289).
It is a tau number, because it is divible by the number of its divisors (81).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (450373289) 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 26 ways as a sum of consecutive naturals, for example, 3437899 + ... + 3438029.
Almost surely, 2450373284 is an apocalyptic number.
450373284 is the 21222-nd square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 450373284
450373284 is an abundant number, since it is smaller than the sum of its proper divisors (740889607).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
450373284 is an frugal number, since it uses more digits than its factorization.
450373284 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 290 (or 136 counting only the distinct ones).
The product of its (nonzero) digits is 80640, while the sum is 36.
The cubic root of 450373284 is about 766.5212634984.
Multiplying 450373284 by its sum of digits (36), we get a square (16213438224 = 1273322).
450373284 divided by its sum of digits (36) gives a square (12510369 = 35372).
The spelling of 450373284 in words is "four hundred fifty million, three hundred seventy-three thousand, two hundred eighty-four".
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