Search a number
-
+
344141651010 = 235176173914969
BaseRepresentation
bin1010000001000000111…
…00001101110001000010
31012220021211020020100110
411000200130031301002
521114300230313020
6422032501532150
733602102524413
oct5004034156102
91186254206313
10344141651010
11122a49a99013
1256844414056
13265b5c6a531
14129297b780a
158e42a9b8e0
hex502070dc42

344141651010 has 128 divisors (see below), whose sum is σ = 890123385600. Its totient is φ = 84836229120.

The previous prime is 344141650991. The next prime is 344141651039. The reversal of 344141651010 is 10156141443.

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

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 63 ways as a sum of consecutive naturals, for example, 22982806 + ... + 22997774.

It is an arithmetic number, because the mean of its divisors is an integer number (6954088950).

Almost surely, 2344141651010 is an apocalyptic number.

344141651010 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 344141651010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445061692800).

344141651010 is an abundant number, since it is smaller than the sum of its proper divisors (545981734590).

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

344141651010 is a wasteful number, since it uses less digits than its factorization.

344141651010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15796.

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 344141651010 its reverse (10156141443), we get a palindrome (354297792453).

The spelling of 344141651010 in words is "three hundred forty-four billion, one hundred forty-one million, six hundred fifty-one thousand, ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 61 85 102 122 170 183 255 305 366 510 610 739 915 1037 1478 1830 2074 2217 3111 3695 4434 5185 6222 7390 10370 11085 12563 14969 15555 22170 25126 29938 31110 37689 44907 45079 62815 74845 75378 89814 90158 125630 135237 149690 188445 224535 225395 254473 270474 376890 449070 450790 508946 676185 763419 766343 913109 1272365 1352370 1526838 1532686 1826218 2299029 2544730 2739327 3817095 3831715 4565545 4598058 5478654 7634190 7663430 9131090 11062091 11495145 13696635 15522853 22124182 22990290 27393270 31045706 33186273 46568559 55310455 66372546 77614265 93137118 110620910 155228530 165931365 188055547 232842795 331862730 376111094 465685590 564166641 674787551 940277735 1128333282 1349575102 1880555470 2024362653 2820833205 3373937755 4048725306 5641666410 6747875510 10121813265 11471388367 20243626530 22942776734 34414165101 57356941835 68828330202 114713883670 172070825505 344141651010