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442323244 = 22113251331
BaseRepresentation
bin11010010111010…
…101000100101100
31010211022100102101
4122113111010230
51401213320434
6111520304444
713650454066
oct3227250454
91124270371
10442323244
11207753000
12104172124
137083c73c
1442a60736
1528c73b14
hex1a5d512c

442323244 has 48 divisors (see below), whose sum is σ = 857388672. Its totient is φ = 199650000.

The previous prime is 442323209. The next prime is 442323247.

It is a happy number.

442323244 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (442323247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1336159 + ... + 1336489.

It is an arithmetic number, because the mean of its divisors is an integer number (17862264).

Almost surely, 2442323244 is an apocalyptic number.

442323244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

442323244 is a deficient number, since it is larger than the sum of its proper divisors (415065428).

442323244 is a wasteful number, since it uses less digits than its factorization.

442323244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 595 counting only the distinct ones).

The product of its digits is 18432, while the sum is 28.

The square root of 442323244 is about 21031.4822111995. The cubic root of 442323244 is about 761.9268075642.

The spelling of 442323244 in words is "four hundred forty-two million, three hundred twenty-three thousand, two hundred forty-four".

Divisors: 1 2 4 11 22 44 121 242 251 331 484 502 662 1004 1324 1331 2662 2761 3641 5324 5522 7282 11044 14564 30371 40051 60742 80102 83081 121484 160204 166162 332324 334081 440561 668162 881122 913891 1336324 1762244 1827782 3655564 10052801 20105602 40211204 110580811 221161622 442323244