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447371340 = 2235131930187
BaseRepresentation
bin11010101010100…
…101100001001100
31011011210211002220
4122222211201030
51404011340330
6112220415340
714041410423
oct3252454114
91134724086
10447371340
1120a590789
121059a7550
13718b9390
14435b62ba
152941e710
hex1aaa584c

447371340 has 96 divisors (see below), whose sum is σ = 1420043520. Its totient is φ = 104322816.

The previous prime is 447371339. The next prime is 447371347. The reversal of 447371340 is 43173744.

It is a super-2 number, since 2×4473713402 = 400282231706791200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (447371347) 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 31 ways as a sum of consecutive naturals, for example, 274 + ... + 29913.

It is an arithmetic number, because the mean of its divisors is an integer number (14792120).

Almost surely, 2447371340 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 447371340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710021760).

447371340 is an abundant number, since it is smaller than the sum of its proper divisors (972672180).

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

447371340 is a wasteful number, since it uses less digits than its factorization.

447371340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30231 (or 30229 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 33.

The square root of 447371340 is about 21151.1545784149. The cubic root of 447371340 is about 764.8143938625.

The spelling of 447371340 in words is "four hundred forty-seven million, three hundred seventy-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 19 20 26 30 38 39 52 57 60 65 76 78 95 114 130 156 190 195 228 247 260 285 380 390 494 570 741 780 988 1140 1235 1482 2470 2964 3705 4940 7410 14820 30187 60374 90561 120748 150935 181122 301870 362244 392431 452805 573553 603740 784862 905610 1147106 1177293 1569724 1720659 1811220 1962155 2294212 2354586 2867765 3441318 3924310 4709172 5735530 5886465 6882636 7456189 7848620 8603295 11471060 11772930 14912378 17206590 22368567 23545860 29824756 34413180 37280945 44737134 74561890 89474268 111842835 149123780 223685670 447371340