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443428368 = 24337324767
BaseRepresentation
bin11010011011100…
…010111000010000
31010220101111100220
4122123202320100
51402004201433
6112000113040
713663036035
oct3233427020
91126344326
10443428368
11208338329
12104605780
1370b38766
1442c6b38c
1528de12b3
hex1a6e2e10

443428368 has 40 divisors (see below), whose sum is σ = 1148640768. Its totient is φ = 147407232.

The previous prime is 443428361. The next prime is 443428373. The reversal of 443428368 is 863824344.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (443428361) 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 7 ways as a sum of consecutive naturals, for example, 5521 + ... + 30287.

Almost surely, 2443428368 is an apocalyptic number.

443428368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

443428368 is an abundant number, since it is smaller than the sum of its proper divisors (705212400).

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

443428368 is a wasteful number, since it uses less digits than its factorization.

443428368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25151 (or 25145 counting only the distinct ones).

The product of its digits is 442368, while the sum is 42.

The square root of 443428368 is about 21057.7389099590. The cubic root of 443428368 is about 762.5608260354.

The spelling of 443428368 in words is "four hundred forty-three million, four hundred twenty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 373 746 1119 1492 2238 2984 4476 5968 8952 17904 24767 49534 74301 99068 148602 198136 297204 396272 594408 1188816 9238091 18476182 27714273 36952364 55428546 73904728 110857092 147809456 221714184 443428368