Base | Representation |
---|---|
bin | 11010110101000… |
… | …111010110010010 |
3 | 1011101000001010100 |
4 | 122311013112102 |
5 | 1410213200341 |
6 | 112355513230 |
7 | 14104024200 |
oct | 3265072622 |
9 | 1141001110 |
10 | 450131346 |
11 | 2110a6385 |
12 | 1068b8816 |
13 | 72344712 |
14 | 43ad4070 |
15 | 297b73b6 |
hex | 1ad47592 |
450131346 has 144 divisors (see below), whose sum is σ = 1189963008. Its totient is φ = 122472000.
The previous prime is 450131329. The next prime is 450131347. The reversal of 450131346 is 643131054.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (450131347) by changing a digit.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2761461 + ... + 2761623.
It is an arithmetic number, because the mean of its divisors is an integer number (8263632).
Almost surely, 2450131346 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 450131346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594981504).
450131346 is an abundant number, since it is smaller than the sum of its proper divisors (739831662).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
450131346 is a wasteful number, since it uses less digits than its factorization.
450131346 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 317 (or 307 counting only the distinct ones).
The product of its (nonzero) digits is 4320, while the sum is 27.
The square root of 450131346 is about 21216.2990646342. The cubic root of 450131346 is about 766.3839819399.
The spelling of 450131346 in words is "four hundred fifty million, one hundred thirty-one thousand, three hundred forty-six".
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