Search a number
-
+
341360 = 24517251
BaseRepresentation
bin1010011010101110000
3122100020222
41103111300
541410420
611152212
72621135
oct1232560
9570228
10341360
11213518
12145668
13bc4b6
148c58c
156b225
hex53570

341360 has 40 divisors (see below), whose sum is σ = 843696. Its totient is φ = 128000.

The previous prime is 341357. The next prime is 341423. The reversal of 341360 is 63143.

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

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a plaindrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1235 + ... + 1485.

2341360 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 341360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421848).

341360 is an abundant number, since it is smaller than the sum of its proper divisors (502336).

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

341360 is a wasteful number, since it uses less digits than its factorization.

341360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 341360 is about 584.2602159997. The cubic root of 341360 is about 69.8882570908. Note that the first 3 decimals are identical.

It can be divided in two parts, 341 and 360, that multiplied together give a triangular number (122760 = T495).

The spelling of 341360 in words is "three hundred forty-one thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 251 272 340 502 680 1004 1255 1360 2008 2510 4016 4267 5020 8534 10040 17068 20080 21335 34136 42670 68272 85340 170680 341360