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344321042610 = 235414745713033
BaseRepresentation
bin1010000001010110010…
…00100010100010110010
31012220202022210021100210
411000223020202202302
521120132141330420
6422102350524550
733606411400116
oct5005310424262
91186668707323
10344321042610
11123031285636
1256894506756
132661418a4cc
1412945553746
158e536d49e0
hex502b2228b2

344321042610 has 128 divisors (see below), whose sum is σ = 866495314944. Its totient is φ = 87474954240.

The previous prime is 344321042573. The next prime is 344321042693. The reversal of 344321042610 is 16240123443.

It is a super-2 number, since 2×3443210426102 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 26412654 + ... + 26425686.

It is an arithmetic number, because the mean of its divisors is an integer number (6769494648).

Almost surely, 2344321042610 is an apocalyptic number.

344321042610 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 344321042610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433247657472).

344321042610 is an abundant number, since it is smaller than the sum of its proper divisors (522174272334).

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

344321042610 is a wasteful number, since it uses less digits than its factorization.

344321042610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13588.

The product of its (nonzero) digits is 13824, while the sum is 30.

The spelling of 344321042610 in words is "three hundred forty-four billion, three hundred twenty-one million, forty-two thousand, six hundred ten".

Divisors: 1 2 3 5 6 10 15 30 41 47 82 94 123 141 205 235 246 282 410 457 470 615 705 914 1230 1371 1410 1927 2285 2742 3854 4570 5781 6855 9635 11562 13033 13710 18737 19270 21479 26066 28905 37474 39099 42958 56211 57810 64437 65165 78198 93685 107395 112422 128874 130330 187370 195495 214790 281055 322185 390990 534353 562110 612551 644370 880639 1068706 1225102 1603059 1761278 1837653 2641917 2671765 3062755 3206118 3675306 4403195 5283834 5343530 5956081 6125510 8015295 8806390 9188265 11912162 13209585 16030590 17868243 18376530 25114591 26419170 29780405 35736486 50229182 59560810 75343773 89341215 125572955 150687546 178682430 244199321 251145910 279935807 376718865 488398642 559871614 732597963 753437730 839807421 1220996605 1399679035 1465195926 1679614842 2441993210 2799358070 3662989815 4199037105 7325979630 8398074210 11477368087 22954736174 34432104261 57386840435 68864208522 114773680870 172160521305 344321042610