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344410140 = 22351759297
BaseRepresentation
bin10100100001110…
…100100000011100
3220000001211220010
4110201310200130
51201132111030
654101523220
711351303124
oct2441644034
9800054803
10344410140
11167457488
1297413510
1356479aa9
1433a53c84
15203826b0
hex1487481c

344410140 has 144 divisors (see below), whose sum is σ = 1049382432. Its totient is φ = 84099072.

The previous prime is 344410133. The next prime is 344410147. The reversal of 344410140 is 41014443.

It is an interprime number because it is at equal distance from previous prime (344410133) and next prime (344410147).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344410147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3550572 + ... + 3550668.

It is an arithmetic number, because the mean of its divisors is an integer number (7287378).

Almost surely, 2344410140 is an apocalyptic number.

344410140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344410140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524691216).

344410140 is an abundant number, since it is smaller than the sum of its proper divisors (704972292).

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

344410140 is a wasteful number, since it uses less digits than its factorization.

344410140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 344410140 is about 18558.2903307390. The cubic root of 344410140 is about 700.9579673116.

Adding to 344410140 its reverse (41014443), we get a palindrome (385424583).

The spelling of 344410140 in words is "three hundred forty-four million, four hundred ten thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 59 60 68 85 97 102 118 170 177 194 204 236 255 291 295 340 354 388 485 510 582 590 708 885 970 1003 1020 1164 1180 1455 1649 1770 1940 2006 2910 3009 3298 3481 3540 4012 4947 5015 5723 5820 6018 6596 6962 8245 9894 10030 10443 11446 12036 13924 15045 16490 17169 17405 19788 20060 20886 22892 24735 28615 30090 32980 34338 34810 41772 49470 52215 57230 59177 60180 68676 69620 85845 97291 98940 104430 114460 118354 171690 177531 194582 208860 236708 291873 295885 337657 343380 355062 389164 486455 583746 591770 675314 710124 887655 972910 1012971 1167492 1183540 1350628 1459365 1688285 1775310 1945820 2025942 2918730 3376570 3550620 4051884 5064855 5740169 5837460 6753140 10129710 11480338 17220507 20259420 22960676 28700845 34441014 57401690 68882028 86102535 114803380 172205070 344410140