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442335540 = 223523320533
BaseRepresentation
bin11010010111011…
…000000100110100
31010211022222021210
4122113120010310
51401214214130
6111520441420
713650534663
oct3227300464
91124288253
10442335540
11207761269
12104179270
137084520a
1442a64dda
1528c775b0
hex1a5d8134

442335540 has 48 divisors (see below), whose sum is σ = 1292393088. Its totient is φ = 112827264.

The previous prime is 442335527. The next prime is 442335557. The reversal of 442335540 is 45533244.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 442335498 and 442335507.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 158887 + ... + 161646.

It is an arithmetic number, because the mean of its divisors is an integer number (26924856).

Almost surely, 2442335540 is an apocalyptic number.

It is an amenable number.

442335540 is an abundant number, since it is smaller than the sum of its proper divisors (850057548).

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

442335540 is a wasteful number, since it uses less digits than its factorization.

442335540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320568 (or 320566 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

The square root of 442335540 is about 21031.7745328348. The cubic root of 442335540 is about 761.9338676840.

Adding to 442335540 its reverse (45533244), we get a palindrome (487868784).

The spelling of 442335540 in words is "four hundred forty-two million, three hundred thirty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 320533 641066 961599 1282132 1602665 1923198 3205330 3846396 4807995 6410660 7372259 9615990 14744518 19231980 22116777 29489036 36861295 44233554 73722590 88467108 110583885 147445180 221167770 442335540