Search a number
-
+
349560 = 23325971
BaseRepresentation
bin1010101010101111000
3122202111200
41111111320
542141220
611254200
72654061
oct1252570
9582450
10349560
112196a2
1214a360
13c3153
1491568
156d890
hex55578

349560 has 48 divisors (see below), whose sum is σ = 1137240. Its totient is φ = 93120.

The previous prime is 349553. The next prime is 349567. The reversal of 349560 is 65943.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (349553) and next prime (349567).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349567) by changing a digit.

349560 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 11 ways as a sum of consecutive naturals, for example, 126 + ... + 845.

2349560 is an apocalyptic number.

349560 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568620).

349560 is an abundant number, since it is smaller than the sum of its proper divisors (787680).

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

349560 is a wasteful number, since it uses less digits than its factorization.

349560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 349560 is about 591.2359934916. The cubic root of 349560 is about 70.4434433993.

It can be divided in two parts, 349 and 560, that added together give a palindrome (909).

The spelling of 349560 in words is "three hundred forty-nine thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 971 1942 2913 3884 4855 5826 7768 8739 9710 11652 14565 17478 19420 23304 29130 34956 38840 43695 58260 69912 87390 116520 174780 349560