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442243300 = 225213733221
BaseRepresentation
bin11010010111000…
…001100011100100
31010211011021202111
4122113001203210
51401203241200
6111514450404
713650002032
oct3227014344
91124137674
10442243300
112076a8a34
12104133a04
1370812235
1442a3d552
1528c5a0ba
hex1a5c18e4

442243300 has 36 divisors (see below), whose sum is σ = 960665076. Its totient is φ = 176713600.

The previous prime is 442243279. The next prime is 442243313. The reversal of 442243300 is 3342244.

It can be written as a sum of positive squares in 6 ways, for example, as 49252324 + 392990976 = 7018^2 + 19824^2 .

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 11 ways as a sum of consecutive naturals, for example, 135690 + ... + 138910.

It is an arithmetic number, because the mean of its divisors is an integer number (26685141).

Almost surely, 2442243300 is an apocalyptic number.

It is an amenable number.

442243300 is an abundant number, since it is smaller than the sum of its proper divisors (518421776).

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

442243300 is a wasteful number, since it uses less digits than its factorization.

442243300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4608 (or 4601 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 442243300 is about 21029.5815460032. The cubic root of 442243300 is about 761.8809021112.

Adding to 442243300 its reverse (3342244), we get a palindrome (445585544).

It can be divided in two parts, 44224 and 3300, that added together give a square (47524 = 2182).

The spelling of 442243300 in words is "four hundred forty-two million, two hundred forty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1373 2746 3221 5492 6442 6865 12884 13730 16105 27460 32210 34325 64420 68650 80525 137300 161050 322100 4422433 8844866 17689732 22112165 44224330 88448660 110560825 221121650 442243300