Search a number
-
+
450343040 = 2757100523
BaseRepresentation
bin11010110101111…
…011000010000000
31011101101210111212
4122311323002000
51410241434130
6112404225252
714105565320
oct3265730200
91141353455
10450343040
11211230434
1210699b228
13723b9b94
1443b4b280
1529809e95
hex1ad7b080

450343040 has 64 divisors (see below), whose sum is σ = 1230413760. Its totient is φ = 154401792.

The previous prime is 450343031. The next prime is 450343087. The reversal of 450343040 is 40343054.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 450342997 and 450343015.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 45782 + ... + 54741.

It is an arithmetic number, because the mean of its divisors is an integer number (19225215).

Almost surely, 2450343040 is an apocalyptic number.

450343040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

450343040 is an abundant number, since it is smaller than the sum of its proper divisors (780070720).

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

450343040 is a wasteful number, since it uses less digits than its factorization.

450343040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100549 (or 100537 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 23.

The square root of 450343040 is about 21221.2874256017. The cubic root of 450343040 is about 766.5041049999.

Adding to 450343040 its reverse (40343054), we get a palindrome (490686094).

The spelling of 450343040 in words is "four hundred fifty million, three hundred forty-three thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1120 2240 4480 100523 201046 402092 502615 703661 804184 1005230 1407322 1608368 2010460 2814644 3216736 3518305 4020920 5629288 6433472 7036610 8041840 11258576 12866944 14073220 16083680 22517152 28146440 32167360 45034304 56292880 64334720 90068608 112585760 225171520 450343040