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349180 = 225131779
BaseRepresentation
bin1010101001111111100
3122201222121
41111033330
542133210
611252324
72653006
oct1251774
9581877
10349180
11219387
1214a0a4
13c2c20
1491376
156d6da
hex553fc

349180 has 48 divisors (see below), whose sum is σ = 846720. Its totient is φ = 119808.

The previous prime is 349177. The next prime is 349183. The reversal of 349180 is 81943.

It is an interprime number because it is at equal distance from previous prime (349177) and next prime (349183).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349183) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4381 + ... + 4459.

It is an arithmetic number, because the mean of its divisors is an integer number (17640).

2349180 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 349180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423360).

349180 is an abundant number, since it is smaller than the sum of its proper divisors (497540).

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

349180 is a wasteful number, since it uses less digits than its factorization.

349180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 349180 is about 590.9145454294. The cubic root of 349180 is about 70.4179082368.

It can be divided in two parts, 349 and 180, that added together give a square (529 = 232).

The spelling of 349180 in words is "three hundred forty-nine thousand, one hundred eighty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 79 85 130 158 170 221 260 316 340 395 442 790 884 1027 1105 1343 1580 2054 2210 2686 4108 4420 5135 5372 6715 10270 13430 17459 20540 26860 34918 69836 87295 174590 349180