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442071312 = 2439209819
BaseRepresentation
bin11010010110010…
…111100100010000
31010210211112211120
4122112113210100
51401132240222
6111511042240
713645354434
oct3226274420
91123745746
10442071312
112075a07a1
12104070380
1370781b77
14429d69c4
1528c2415c
hex1a597910

442071312 has 20 divisors (see below), whose sum is σ = 1142017680. Its totient is φ = 147357088.

The previous prime is 442071269. The next prime is 442071313. The reversal of 442071312 is 213170244.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (442071313) 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 3 ways as a sum of consecutive naturals, for example, 4604862 + ... + 4604957.

It is an arithmetic number, because the mean of its divisors is an integer number (57100884).

Almost surely, 2442071312 is an apocalyptic number.

It is an amenable number.

442071312 is an abundant number, since it is smaller than the sum of its proper divisors (699946368).

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

442071312 is a wasteful number, since it uses less digits than its factorization.

442071312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9209830 (or 9209824 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 442071312 is about 21025.4919561945. The cubic root of 442071312 is about 761.7821243851.

The spelling of 442071312 in words is "four hundred forty-two million, seventy-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 9209819 18419638 27629457 36839276 55258914 73678552 110517828 147357104 221035656 442071312