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341640 = 233251373
BaseRepresentation
bin1010011011010001000
3122100122100
41103122020
541413030
611153400
72622015
oct1233210
9570570
10341640
11213752
12145860
13bc670
148c70c
156b360
hex53688

341640 has 96 divisors (see below), whose sum is σ = 1212120. Its totient is φ = 82944.

The previous prime is 341629. The next prime is 341641. The reversal of 341640 is 46143.

341640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 224676 + 116964 = 474^2 + 342^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (341641) by changing a digit.

341640 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 23 ways as a sum of consecutive naturals, for example, 4644 + ... + 4716.

2341640 is an apocalyptic number.

341640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a pronic number, being equal to 584×585.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 341640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606060).

341640 is an abundant number, since it is smaller than the sum of its proper divisors (870480).

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

341640 is a wasteful number, since it uses less digits than its factorization.

341640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 341640 is about 584.4997861420. The cubic root of 341640 is about 69.9073604460.

Adding to 341640 its reverse (46143), we get a palindrome (387783).

The spelling of 341640 in words is "three hundred forty-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 73 78 90 104 117 120 130 146 156 180 195 219 234 260 292 312 360 365 390 438 468 520 584 585 657 730 780 876 936 949 1095 1170 1314 1460 1560 1752 1898 2190 2340 2628 2847 2920 3285 3796 4380 4680 4745 5256 5694 6570 7592 8541 8760 9490 11388 13140 14235 17082 18980 22776 26280 28470 34164 37960 42705 56940 68328 85410 113880 170820 341640