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442401234 = 2311174159163
BaseRepresentation
bin11010010111101…
…000000111010010
31010211110022101220
4122113220013102
51401223314414
6111522105510
713651230342
oct3227500722
91124408356
10442401234
112077a6660
121041ab296
13708690a2
1442a80d22
1528c8bca9
hex1a5e81d2

442401234 has 128 divisors (see below), whose sum is σ = 1071221760. Its totient is φ = 120268800.

The previous prime is 442401227. The next prime is 442401247. The reversal of 442401234 is 432104244.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2714037 + ... + 2714199.

It is an arithmetic number, because the mean of its divisors is an integer number (8368920).

Almost surely, 2442401234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442401234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535610880).

442401234 is an abundant number, since it is smaller than the sum of its proper divisors (628820526).

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

442401234 is a wasteful number, since it uses less digits than its factorization.

442401234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296.

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 442401234 is about 21033.3362546221. The cubic root of 442401234 is about 761.9715856614.

Adding to 442401234 its reverse (432104244), we get a palindrome (874505478).

The spelling of 442401234 in words is "four hundred forty-two million, four hundred one thousand, two hundred thirty-four".

Divisors: 1 2 3 6 11 17 22 33 34 41 51 59 66 82 102 118 123 163 177 187 246 326 354 374 451 489 561 649 697 902 978 1003 1122 1298 1353 1394 1793 1947 2006 2091 2419 2706 2771 3009 3586 3894 4182 4838 5379 5542 6018 6683 7257 7667 8313 9617 10758 11033 13366 14514 15334 16626 19234 20049 22066 23001 26609 28851 30481 33099 40098 41123 46002 53218 57702 60962 66198 73513 79827 82246 91443 105787 113611 123369 147026 159654 163489 182886 211574 220539 227222 246738 317361 326978 340833 394297 441078 452353 490467 634722 681666 788594 904706 980934 1182891 1249721 1357059 1798379 2365782 2499442 2714118 3596758 3749163 4337267 5395137 6703049 7498326 8674534 10790274 13011801 13406098 20109147 26023602 40218294 73733539 147467078 221200617 442401234