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349965 = 325711101
BaseRepresentation
bin1010101011100001101
3122210001200
41111130031
542144330
611300113
72655210
oct1253415
9583050
10349965
11219a30
1214a639
13c33a5
1491777
156da60
hex5570d

349965 has 48 divisors (see below), whose sum is σ = 763776. Its totient is φ = 144000.

The previous prime is 349963. The next prime is 349967. The reversal of 349965 is 569943.

It is an interprime number because it is at equal distance from previous prime (349963) and next prime (349967).

It is not a de Polignac number, because 349965 - 21 = 349963 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349963) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3415 + ... + 3515.

It is an arithmetic number, because the mean of its divisors is an integer number (15912).

2349965 is an apocalyptic number.

349965 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

349965 is an abundant number, since it is smaller than the sum of its proper divisors (413811).

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

349965 is a wasteful number, since it uses less digits than its factorization.

349965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 127 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The square root of 349965 is about 591.5783971715. The cubic root of 349965 is about 70.4706381428.

It can be divided in two parts, 34 and 9965, that added together give a palindrome (9999).

The spelling of 349965 in words is "three hundred forty-nine thousand, nine hundred sixty-five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 55 63 77 99 101 105 165 231 303 315 385 495 505 693 707 909 1111 1155 1515 2121 3333 3465 3535 4545 5555 6363 7777 9999 10605 16665 23331 31815 38885 49995 69993 116655 349965