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1442330340 = 2235115341233
BaseRepresentation
bin101010111111000…
…0011011011100100
310201111222222021020
41111332003123210
510423214032330
6355042051140
750512414503
oct12576033344
93644888236
101442330340
11680181150
12343049ab0
1319ca7cc09
14d97b083a
1586957210
hex55f836e4

1442330340 has 96 divisors (see below), whose sum is σ = 4488898176. Its totient is φ = 343050240.

The previous prime is 1442330339. The next prime is 1442330353. The reversal of 1442330340 is 430332441.

It is a self number, because there is not a number n which added to its sum of digits gives 1442330340.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14364 + ... + 55596.

It is an arithmetic number, because the mean of its divisors is an integer number (46759356).

Almost surely, 21442330340 is an apocalyptic number.

1442330340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1442330340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2244449088).

1442330340 is an abundant number, since it is smaller than the sum of its proper divisors (3046567836).

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

1442330340 is a wasteful number, since it uses less digits than its factorization.

1442330340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41309 (or 41307 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 1442330340 is about 37978.0244351915. The cubic root of 1442330340 is about 1129.8520546646.

Adding to 1442330340 its reverse (430332441), we get a palindrome (1872662781).

The spelling of 1442330340 in words is "one billion, four hundred forty-two million, three hundred thirty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 53 55 60 66 106 110 132 159 165 212 220 265 318 330 530 583 636 660 795 1060 1166 1590 1749 2332 2915 3180 3498 5830 6996 8745 11660 17490 34980 41233 82466 123699 164932 206165 247398 412330 453563 494796 618495 824660 907126 1236990 1360689 1814252 2185349 2267815 2473980 2721378 4370698 4535630 5442756 6556047 6803445 8741396 9071260 10926745 13112094 13606890 21853490 24038839 26224188 27213780 32780235 43706980 48077678 65560470 72116517 96155356 120194195 131120940 144233034 240388390 288466068 360582585 480776780 721165170 1442330340