Search a number
-
+
349859180 = 2251131431193
BaseRepresentation
bin10100110110100…
…110110101101100
3220101022200120102
4110312212311230
51204030443210
654414410232
711445516416
oct2466466554
9811280512
10349859180
1116a539420
1299200978
1357637088
14346719b6
1520aabea5
hex14da6d6c

349859180 has 96 divisors (see below), whose sum is σ = 847300608. Its totient is φ = 120153600.

The previous prime is 349859171. The next prime is 349859189. The reversal of 349859180 is 81958943.

It is an interprime number because it is at equal distance from previous prime (349859171) and next prime (349859189).

It is not an unprimeable number, because it can be changed into a prime (349859189) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 292664 + ... + 293856.

It is an arithmetic number, because the mean of its divisors is an integer number (8826048).

Almost surely, 2349859180 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 349859180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423650304).

349859180 is an abundant number, since it is smaller than the sum of its proper divisors (497441428).

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

349859180 is a wasteful number, since it uses less digits than its factorization.

349859180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1287 (or 1285 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 47.

The square root of 349859180 is about 18704.5229824233. The cubic root of 349859180 is about 704.6353461844.

The spelling of 349859180 in words is "three hundred forty-nine million, eight hundred fifty-nine thousand, one hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 31 43 44 55 62 86 110 124 155 172 215 220 310 341 430 473 620 682 860 946 1193 1333 1364 1705 1892 2365 2386 2666 3410 4730 4772 5332 5965 6665 6820 9460 11930 13123 13330 14663 23860 26246 26660 29326 36983 51299 52492 58652 65615 73315 73966 102598 131230 146630 147932 184915 205196 256495 262460 293260 369830 406813 512990 564289 739660 813626 1025980 1128578 1590269 1627252 2034065 2257156 2821445 3180538 4068130 5642890 6361076 7951345 8136260 11285780 15902690 17492959 31805380 34985918 69971836 87464795 174929590 349859180