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342242340 = 2235112917881
BaseRepresentation
bin10100011001100…
…011010000100100
3212211222201020020
4110121203100210
51200103223330
653543235140
711324004036
oct2431432044
9784881206
10342242340
11166206810
1296748ab0
1355b9b17b
143364bc56
15200a5210
hex14663424

342242340 has 96 divisors (see below), whose sum is σ = 1081503360. Its totient is φ = 80102400.

The previous prime is 342242339. The next prime is 342242353. The reversal of 342242340 is 43242243.

It is a self number, because there is not a number n which added to its sum of digits gives 342242340.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10200 + ... + 28080.

It is an arithmetic number, because the mean of its divisors is an integer number (11265660).

Almost surely, 2342242340 is an apocalyptic number.

342242340 is a gapful number since it is divisible by the number (30) 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 342242340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540751680).

342242340 is an abundant number, since it is smaller than the sum of its proper divisors (739261020).

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

342242340 is a wasteful number, since it uses less digits than its factorization.

342242340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17933 (or 17931 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 342242340 is about 18499.7929718146. The cubic root of 342242340 is about 699.4842050639.

Adding to 342242340 its reverse (43242243), we get a palindrome (385484583).

The spelling of 342242340 in words is "three hundred forty-two million, two hundred forty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 29 30 33 44 55 58 60 66 87 110 116 132 145 165 174 220 290 319 330 348 435 580 638 660 870 957 1276 1595 1740 1914 3190 3828 4785 6380 9570 17881 19140 35762 53643 71524 89405 107286 178810 196691 214572 268215 357620 393382 518549 536430 590073 786764 983455 1037098 1072860 1180146 1555647 1966910 2074196 2360292 2592745 2950365 3111294 3933820 5185490 5704039 5900730 6222588 7778235 10370980 11408078 11801460 15556470 17112117 22816156 28520195 31112940 34224234 57040390 68448468 85560585 114080780 171121170 342242340