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447471340 = 22537259277
BaseRepresentation
bin11010101010111…
…101111011101100
31011011222220021121
4122222331323230
51404023040330
6112222510324
714042305111
oct3252757354
91134886247
10447471340
1120a649928
12105a353a4
1371922a54
1443600908
152943e17a
hex1aabdeec

447471340 has 72 divisors (see below), whose sum is σ = 985687920. Its totient is φ = 170581248.

The previous prime is 447471319. The next prime is 447471341. The reversal of 447471340 is 43174744.

It is a junction number, because it is equal to n+sod(n) for n = 447471296 and 447471305.

It is not an unprimeable number, because it can be changed into a prime (447471341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1615282 + ... + 1615558.

It is an arithmetic number, because the mean of its divisors is an integer number (13690110).

Almost surely, 2447471340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 447471340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492843960).

447471340 is an abundant number, since it is smaller than the sum of its proper divisors (538216580).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

447471340 is a wasteful number, since it uses less digits than its factorization.

447471340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 34.

The square root of 447471340 is about 21153.5183834747. The cubic root of 447471340 is about 764.8713754157.

The spelling of 447471340 in words is "four hundred forty-seven million, four hundred seventy-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 37 59 74 118 148 185 236 277 295 370 554 590 740 1108 1180 1369 1385 2183 2738 2770 4366 5476 5540 6845 8732 10249 10915 13690 16343 20498 21830 27380 32686 40996 43660 51245 65372 80771 81715 102490 161542 163430 204980 323084 326860 379213 403855 604691 758426 807710 1209382 1516852 1615420 1896065 2418764 3023455 3792130 6046910 7584260 12093820 22373567 44747134 89494268 111867835 223735670 447471340