Search a number
-
+
349350 = 235217137
BaseRepresentation
bin1010101010010100110
3122202012220
41111102212
542134400
611253210
72653341
oct1252246
9582186
10349350
11219521
1214a206
13c3021
1491458
156d7a0
hex554a6

349350 has 48 divisors (see below), whose sum is σ = 924048. Its totient is φ = 87040.

The previous prime is 349343. The next prime is 349357. The reversal of 349350 is 53943.

It is an interprime number because it is at equal distance from previous prime (349343) and next prime (349357).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 349350.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349357) by changing a digit.

349350 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2482 + ... + 2618.

It is an arithmetic number, because the mean of its divisors is an integer number (19251).

2349350 is an apocalyptic number.

349350 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 349350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462024).

349350 is an abundant number, since it is smaller than the sum of its proper divisors (574698).

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

349350 is a wasteful number, since it uses less digits than its factorization.

349350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 349350 is about 591.0583727518. The cubic root of 349350 is about 70.4293341511.

The spelling of 349350 in words is "three hundred forty-nine thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 17 25 30 34 50 51 75 85 102 137 150 170 255 274 411 425 510 685 822 850 1275 1370 2055 2329 2550 3425 4110 4658 6850 6987 10275 11645 13974 20550 23290 34935 58225 69870 116450 174675 349350