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450551340 = 22325171131303
BaseRepresentation
bin11010110110101…
…101111000101100
31011101210101020200
4122312231320230
51410320120330
6112412513500
714110423521
oct3266557054
91141711220
10450551340
11211362988
12106a7b890
1372460935
1443ba3148
152984ba60
hex1adade2c

450551340 has 144 divisors (see below), whose sum is σ = 1460991168. Its totient is φ = 111992832.

The previous prime is 450551327. The next prime is 450551363. The reversal of 450551340 is 43155054.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 345129 + ... + 346431.

It is an arithmetic number, because the mean of its divisors is an integer number (10145772).

Almost surely, 2450551340 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 450551340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730495584).

450551340 is an abundant number, since it is smaller than the sum of its proper divisors (1010439828).

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

450551340 is a wasteful number, since it uses less digits than its factorization.

450551340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1448 (or 1443 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 450551340 is about 21226.1946660253. The cubic root of 450551340 is about 766.6222654395.

The spelling of 450551340 in words is "four hundred fifty million, five hundred fifty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 113 153 170 180 204 226 255 306 339 340 452 510 565 612 678 765 1017 1020 1130 1303 1356 1530 1695 1921 2034 2260 2606 3060 3390 3842 3909 4068 5085 5212 5763 6515 6780 7684 7818 9605 10170 11526 11727 13030 15636 17289 19210 19545 20340 22151 23052 23454 26060 28815 34578 38420 39090 44302 46908 57630 58635 66453 69156 78180 86445 88604 110755 115260 117270 132906 147239 172890 199359 221510 234540 265812 294478 332265 345780 398718 441717 443020 588956 664530 736195 797436 883434 996795 1325151 1329060 1472390 1766868 1993590 2208585 2503063 2650302 2944780 3987180 4417170 5006126 5300604 6625755 7509189 8834340 10012252 12515315 13251510 15018378 22527567 25030630 26503020 30036756 37545945 45055134 50061260 75091890 90110268 112637835 150183780 225275670 450551340