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450321696 = 253211413467
BaseRepresentation
bin11010110101110…
…101110100100000
31011101100201020100
4122311311310200
51410240243241
6112403542400
714105446146
oct3265656440
91141321210
10450321696
112112163a0
1210698aa00
13723b0256
1443b43596
15298039b6
hex1ad75d20

450321696 has 144 divisors (see below), whose sum is σ = 1431507168. Its totient is φ = 133094400.

The previous prime is 450321667. The next prime is 450321701. The reversal of 450321696 is 696123054.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 450321696.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128155 + ... + 131621.

It is an arithmetic number, because the mean of its divisors is an integer number (9941022).

Almost surely, 2450321696 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 450321696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715753584).

450321696 is an abundant number, since it is smaller than the sum of its proper divisors (981185472).

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

450321696 is a wasteful number, since it uses less digits than its factorization.

450321696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3535 (or 3524 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 450321696 is about 21220.7845283816. The cubic root of 450321696 is about 766.4919953259.

The spelling of 450321696 in words is "four hundred fifty million, three hundred twenty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 41 44 48 66 72 82 88 96 99 123 132 144 164 176 198 246 264 288 328 352 369 396 451 492 528 656 738 792 902 984 1056 1312 1353 1476 1584 1804 1968 2706 2952 3168 3467 3608 3936 4059 5412 5904 6934 7216 8118 10401 10824 11808 13868 14432 16236 20802 21648 27736 31203 32472 38137 41604 43296 55472 62406 64944 76274 83208 110944 114411 124812 129888 142147 152548 166416 228822 249624 284294 305096 332832 343233 426441 457644 499248 568588 610192 686466 852882 915288 998496 1137176 1220384 1279323 1372932 1563617 1705764 1830576 2274352 2558646 2745864 3127234 3411528 3661152 4548704 4690851 5117292 5491728 6254468 6823056 9381702 10234584 10983456 12508936 13646112 14072553 18763404 20469168 25017872 28145106 37526808 40938336 50035744 56290212 75053616 112580424 150107232 225160848 450321696