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349520 = 24517257
BaseRepresentation
bin1010101010101010000
3122202110012
41111111100
542141040
611254052
72654003
oct1252520
9582405
10349520
11219666
1214a328
13c3122
149153a
156d865
hex55550

349520 has 40 divisors (see below), whose sum is σ = 863784. Its totient is φ = 131072.

The previous prime is 349519. The next prime is 349529. The reversal of 349520 is 25943.

It can be written as a sum of positive squares in 4 ways, for example, as 179776 + 169744 = 424^2 + 412^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a nialpdrome in base 4 and base 16.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349529) by changing a digit.

In principle, a polygon with 349520 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1232 + ... + 1488.

2349520 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 349520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431892).

349520 is an abundant number, since it is smaller than the sum of its proper divisors (514264).

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

349520 is a wasteful number, since it uses less digits than its factorization.

349520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 349520 is about 591.2021650840. The cubic root of 349520 is about 70.4407563592.

The spelling of 349520 in words is "three hundred forty-nine thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 257 272 340 514 680 1028 1285 1360 2056 2570 4112 4369 5140 8738 10280 17476 20560 21845 34952 43690 69904 87380 174760 349520