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349248 = 26317107
BaseRepresentation
bin1010101010001000000
3122202002010
41111101000
542133443
611252520
72653134
oct1252100
9582063
10349248
11219439
1214a140
13c2c73
14913c4
156d733
hex55440

349248 has 56 divisors (see below), whose sum is σ = 987552. Its totient is φ = 108544.

The previous prime is 349241. The next prime is 349291. The reversal of 349248 is 842943.

It is a happy number.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (349241) 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, 3211 + ... + 3317.

2349248 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 349248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493776).

349248 is an abundant number, since it is smaller than the sum of its proper divisors (638304).

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

349248 is a wasteful number, since it uses less digits than its factorization.

349248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 129 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 349248 is about 590.9720805588. The cubic root of 349248 is about 70.4224790475.

It can be divided in two parts, 34 and 9248, that multiplied together give a cube (314432 = 683).

The spelling of 349248 in words is "three hundred forty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 107 136 192 204 214 272 321 408 428 544 642 816 856 1088 1284 1632 1712 1819 2568 3264 3424 3638 5136 5457 6848 7276 10272 10914 14552 20544 21828 29104 43656 58208 87312 116416 174624 349248