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340210304203240 = 235314149913410389
BaseRepresentation
bin100110101011010110110001…
…0010101001011100111101000
31122121120210021001100001012001
41031112231202111023213220
5324043001200334000430
63203322242305300344
7131442245330006512
oct11526554225134750
91577523231301161
10340210304203240
119944641a505139
12321a70526346b4
13117aa903a18c13
1460023a3700bb2
15294e9b644c3ca
hex1356b6254b9e8

340210304203240 has 128 divisors (see below), whose sum is σ = 811060387200000. Its totient is φ = 128224765900800.

The previous prime is 340210304203223. The next prime is 340210304203307. The reversal of 340210304203240 is 42302403012043.

It is a super-2 number, since 2×3402103042032402 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 340210304203199 and 340210304203208.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18663966 + ... + 32074354.

It is an arithmetic number, because the mean of its divisors is an integer number (6336409275000).

Almost surely, 2340210304203240 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 340210304203240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405530193600000).

340210304203240 is an abundant number, since it is smaller than the sum of its proper divisors (470850082996760).

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

340210304203240 is a wasteful number, since it uses less digits than its factorization.

340210304203240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13410971 (or 13410967 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 340210304203240 its reverse (42302403012043), we get a palindrome (382512707215283).

The spelling of 340210304203240 in words is "three hundred forty trillion, two hundred ten billion, three hundred four million, two hundred three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 31 40 41 62 82 124 155 164 205 248 310 328 410 499 620 820 998 1240 1271 1640 1996 2495 2542 3992 4990 5084 6355 9980 10168 12710 15469 19960 20459 25420 30938 40918 50840 61876 77345 81836 102295 123752 154690 163672 204590 309380 409180 618760 634229 818360 1268458 2536916 3171145 5073832 6342290 12684580 13410389 25369160 26820778 53641556 67051945 107283112 134103890 268207780 415722059 536415560 549825949 831444118 1099651898 1662888236 2078610295 2199303796 2749129745 3325776472 4157220590 4398607592 5498259490 6691784111 8314441180 10996518980 13383568222 16628882360 17044604419 21993037960 26767136444 33458920555 34089208838 53534272888 66917841110 68178417676 85223022095 133835682220 136356835352 170446044190 207445307441 267671364440 274363148551 340892088380 414890614882 548726297102 681784176760 829781229764 1037226537205 1097452594204 1371815742755 1659562459528 2074453074410 2194905188408 2743631485510 4148906148820 5487262971020 8297812297640 8505257605081 10974525942040 17010515210162 34021030420324 42526288025405 68042060840648 85052576050810 170105152101620 340210304203240