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442103340 = 2235710191033
BaseRepresentation
bin11010010110011…
…111011000101100
31010210220011202210
4122112133120230
51401134301330
6111511450420
713645550010
oct3226373054
91123804683
10442103340
11207612868
12104086a10
1370793613
1442a04540
1528c2d8b0
hex1a59f62c

442103340 has 96 divisors (see below), whose sum is σ = 1417489920. Its totient is φ = 100855296.

The previous prime is 442103303. The next prime is 442103393. The reversal of 442103340 is 43301244.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 427464 + ... + 428496.

It is an arithmetic number, because the mean of its divisors is an integer number (14765520).

Almost surely, 2442103340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442103340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708744960).

442103340 is an abundant number, since it is smaller than the sum of its proper divisors (975386580).

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

442103340 is a wasteful number, since it uses less digits than its factorization.

442103340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2071 (or 2069 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 442103340 is about 21026.2535892631. The cubic root of 442103340 is about 761.8005209409.

Adding to 442103340 its reverse (43301244), we get a palindrome (485404584).

The spelling of 442103340 in words is "four hundred forty-two million, one hundred three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 1019 1033 2038 2066 3057 3099 4076 4132 5095 5165 6114 6198 7133 7231 10190 10330 12228 12396 14266 14462 15285 15495 20380 20660 21399 21693 28532 28924 30570 30990 35665 36155 42798 43386 61140 61980 71330 72310 85596 86772 106995 108465 142660 144620 213990 216930 427980 433860 1052627 2105254 3157881 4210508 5263135 6315762 7368389 10526270 12631524 14736778 15789405 21052540 22105167 29473556 31578810 36841945 44210334 63157620 73683890 88420668 110525835 147367780 221051670 442103340