[go: up one dir, main page]

Search a number
-
+
341040 = 24357229
BaseRepresentation
bin1010011010000110000
3122022211010
41103100300
541403130
611150520
72620200
oct1232060
9568733
10341040
11213257
12145440
13bc2cb
148c400
156b0b0
hex53430

341040 has 120 divisors (see below), whose sum is σ = 1272240. Its totient is φ = 75264.

The previous prime is 341027. The next prime is 341041. The reversal of 341040 is 40143.

341040 is nontrivially palindromic in base 13.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (341041) by changing a digit.

341040 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11746 + ... + 11774.

It is an arithmetic number, because the mean of its divisors is an integer number (10602).

2341040 is an apocalyptic number.

341040 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 341040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636120).

341040 is an abundant number, since it is smaller than the sum of its proper divisors (931200).

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

341040 is a wasteful number, since it uses less digits than its factorization.

341040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 341040 is about 583.9863012092. The cubic root of 341040 is about 69.8664118891.

Adding to 341040 its reverse (40143), we get a palindrome (381183).

The spelling of 341040 in words is "three hundred forty-one thousand, forty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 29 30 35 40 42 48 49 56 58 60 70 80 84 87 98 105 112 116 120 140 145 147 168 174 196 203 210 232 240 245 280 290 294 336 348 392 406 420 435 464 490 560 580 588 609 696 735 784 812 840 870 980 1015 1160 1176 1218 1392 1421 1470 1624 1680 1740 1960 2030 2320 2352 2436 2842 2940 3045 3248 3480 3920 4060 4263 4872 5684 5880 6090 6960 7105 8120 8526 9744 11368 11760 12180 14210 16240 17052 21315 22736 24360 28420 34104 42630 48720 56840 68208 85260 113680 170520 341040