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349360 = 24511397
BaseRepresentation
bin1010101010010110000
3122202020021
41111102300
542134420
611253224
72653354
oct1252260
9582207
10349360
11219530
1214a214
13c302b
1491464
156d7aa
hex554b0

349360 has 40 divisors (see below), whose sum is σ = 888336. Its totient is φ = 126720.

The previous prime is 349357. The next prime is 349369. The reversal of 349360 is 63943.

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349369) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 682 + ... + 1078.

2349360 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 349360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444168).

349360 is an abundant number, since it is smaller than the sum of its proper divisors (538976).

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

349360 is a wasteful number, since it uses less digits than its factorization.

349360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

The square root of 349360 is about 591.0668320926. The cubic root of 349360 is about 70.4300061482.

It can be divided in two parts, 3493 and 60, that added together give a palindrome (3553).

The spelling of 349360 in words is "three hundred forty-nine thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 397 440 794 880 1588 1985 3176 3970 4367 6352 7940 8734 15880 17468 21835 31760 34936 43670 69872 87340 174680 349360