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442143344 = 2417412967
BaseRepresentation
bin11010010110101…
…001001001110000
31010210222012122102
4122112221021300
51401142041334
6111512355532
713646104436
oct3226511160
91123865572
10442143344
1120763a925
121040a5ba8
13707a88a6
1442a14d56
1528c3a67e
hex1a5a9270

442143344 has 60 divisors (see below), whose sum is σ = 930668112. Its totient is φ = 202782720.

The previous prime is 442143307. The next prime is 442143347. The reversal of 442143344 is 443341244.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442143347) 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 11 ways as a sum of consecutive naturals, for example, 456749 + ... + 457715.

Almost surely, 2442143344 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 442143344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465334056).

442143344 is an abundant number, since it is smaller than the sum of its proper divisors (488524768).

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

442143344 is a wasteful number, since it uses less digits than its factorization.

442143344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074 (or 1027 counting only the distinct ones).

The product of its digits is 18432, while the sum is 29.

The square root of 442143344 is about 21027.2048546639. The cubic root of 442143344 is about 761.8234975817.

Adding to 442143344 its reverse (443341244), we get a palindrome (885484588).

The spelling of 442143344 in words is "four hundred forty-two million, one hundred forty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 17 34 41 68 82 136 164 272 328 656 697 967 1394 1681 1934 2788 3362 3868 5576 6724 7736 11152 13448 15472 16439 26896 28577 32878 39647 57154 65756 79294 114308 131512 158588 228616 263024 317176 457232 634352 673999 1347998 1625527 2695996 3251054 5391992 6502108 10783984 13004216 26008432 27633959 55267918 110535836 221071672 442143344