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342440120 = 235112947571
BaseRepresentation
bin10100011010010…
…011100010111000
3212212100202112102
4110122103202320
51200131040440
653551402532
711325456461
oct2432234270
9785322472
10342440120
11166331370
1296823448
1355c3a1b9
143369dd68
15200e3b15
hex146938b8

342440120 has 128 divisors (see below), whose sum is σ = 889574400. Its totient is φ = 117465600.

The previous prime is 342440117. The next prime is 342440183. The reversal of 342440120 is 21044243.

It is a super-2 number, since 2×3424401202 = 234530471571228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 342440092 and 342440101.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 599435 + ... + 600005.

It is an arithmetic number, because the mean of its divisors is an integer number (6949800).

Almost surely, 2342440120 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 342440120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444787200).

342440120 is an abundant number, since it is smaller than the sum of its proper divisors (547134280).

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

342440120 is a wasteful number, since it uses less digits than its factorization.

342440120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 342440120 is about 18505.1376649837. The cubic root of 342440120 is about 699.6189218314.

Adding to 342440120 its reverse (21044243), we get a palindrome (363484363).

The spelling of 342440120 in words is "three hundred forty-two million, four hundred forty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 29 40 44 47 55 58 88 94 110 116 145 188 220 232 235 290 319 376 440 470 517 571 580 638 940 1034 1142 1160 1276 1363 1595 1880 2068 2284 2552 2585 2726 2855 3190 4136 4568 5170 5452 5710 6281 6380 6815 10340 10904 11420 12562 12760 13630 14993 16559 20680 22840 25124 26837 27260 29986 31405 33118 50248 53674 54520 59972 62810 66236 74965 82795 107348 119944 125620 132472 134185 149930 165590 182149 214696 251240 268370 295207 299860 331180 364298 536740 590414 599720 662360 728596 778273 910745 1073480 1180828 1457192 1476035 1556546 1821490 2361656 2952070 3113092 3642980 3891365 5904140 6226184 7285960 7782730 8561003 11808280 15565460 17122006 31130920 34244012 42805015 68488024 85610030 171220060 342440120