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442134342 = 233134397151
BaseRepresentation
bin11010010110100…
…110111101000110
31010210221202022000
4122112212331012
51401141244332
6111512250130
713646036256
oct3226467506
91123852260
10442134342
11207634091
121040a0946
13707a4770
1442a11966
1528c37b7c
hex1a5a6f46

442134342 has 128 divisors (see below), whose sum is σ = 1101112320. Its totient is φ = 130636800.

The previous prime is 442134331. The next prime is 442134367. The reversal of 442134342 is 243431244.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent 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, 2927967 + ... + 2928117.

It is an arithmetic number, because the mean of its divisors is an integer number (8602440).

Almost surely, 2442134342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442134342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550556160).

442134342 is an abundant number, since it is smaller than the sum of its proper divisors (658977978).

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

442134342 is a wasteful number, since it uses less digits than its factorization.

442134342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 309 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 442134342 is about 21026.9907975440. The cubic root of 442134342 is about 761.8183273266.

Adding to 442134342 its reverse (243431244), we get a palindrome (685565586).

The spelling of 442134342 in words is "four hundred forty-two million, one hundred thirty-four thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 43 54 78 86 97 117 129 151 194 234 258 291 302 351 387 453 559 582 702 774 873 906 1118 1161 1261 1359 1677 1746 1963 2322 2522 2619 2718 3354 3783 3926 4077 4171 5031 5238 5889 6493 7566 8154 8342 10062 11349 11778 12513 12986 14647 15093 17667 19479 22698 25026 29294 30186 34047 35334 37539 38958 43941 53001 54223 58437 68094 75078 84409 87882 106002 108446 112617 116874 131823 162669 168818 175311 190411 225234 253227 263646 325338 350622 380822 395469 488007 506454 571233 629821 759681 790938 976014 1142466 1259642 1464021 1519362 1713699 1889463 2279043 2928042 3427398 3778926 4558086 5141097 5668389 8187673 10282194 11336778 16375346 17005167 24563019 34010334 49126038 73689057 147378114 221067171 442134342