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344141100210 = 2351729157148207
BaseRepresentation
bin1010000001000000110…
…10000111010010110010
31012220021210012020210110
411000200122013102302
521114300110201320
6422032442042150
733602065041525
oct5004032072262
91186253166713
10344141100210
11122a49752206
12568441a9356
13265b5b0690b
14129296b2bbc
158e429dd5e0
hex50206874b2

344141100210 has 128 divisors (see below), whose sum is σ = 910447672320. Its totient is φ = 82862567424.

The previous prime is 344141100197. The next prime is 344141100223. The reversal of 344141100210 is 12001141443.

It is an interprime number because it is at equal distance from previous prime (344141100197) and next prime (344141100223).

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, 2247927 + ... + 2396133.

It is an arithmetic number, because the mean of its divisors is an integer number (7112872440).

Almost surely, 2344141100210 is an apocalyptic number.

344141100210 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 344141100210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455223836160).

344141100210 is an abundant number, since it is smaller than the sum of its proper divisors (566306572110).

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

344141100210 is a wasteful number, since it uses less digits than its factorization.

344141100210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148420.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 344141100210 its reverse (12001141443), we get a palindrome (356142241653).

The spelling of 344141100210 in words is "three hundred forty-four billion, one hundred forty-one million, one hundred thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 17 29 30 34 51 58 85 87 102 145 157 170 174 255 290 314 435 471 493 510 785 870 942 986 1479 1570 2355 2465 2669 2958 4553 4710 4930 5338 7395 8007 9106 13345 13659 14790 16014 22765 26690 27318 40035 45530 68295 77401 80070 136590 148207 154802 232203 296414 387005 444621 464406 741035 774010 889242 1161015 1482070 2223105 2322030 2519519 4298003 4446210 5039038 7558557 8596006 12597595 12894009 15117114 21490015 23268499 25195190 25788018 37792785 42980030 46536998 64470045 69805497 73066051 75585570 116342495 128940090 139610994 146132102 219198153 232684990 349027485 365330255 395564483 438396306 674786471 698054970 730660510 791128966 1095990765 1186693449 1349572942 1977822415 2024359413 2191981530 2373386898 3373932355 3955644830 4048718826 5933467245 6747864710 10121797065 11471370007 11866934490 20243594130 22942740014 34414110021 57356850035 68828220042 114713700070 172070550105 344141100210