Search a number
-
+
347040 = 25325241
BaseRepresentation
bin1010100101110100000
3122122001100
41110232200
542101130
611234400
72643531
oct1245640
9578040
10347040
11217811
12148a00
13c1c65
1490688
156cc60
hex54ba0

347040 has 72 divisors (see below), whose sum is σ = 1189188. Its totient is φ = 92160.

The previous prime is 347033. The next prime is 347041. The reversal of 347040 is 40743.

347040 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 2 ways, for example, as 345744 + 1296 = 588^2 + 36^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (347041) by changing a digit.

347040 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, 1320 + ... + 1560.

2347040 is an apocalyptic number.

347040 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 347040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594594).

347040 is an abundant number, since it is smaller than the sum of its proper divisors (842148).

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

347040 is a wasteful number, since it uses less digits than its factorization.

347040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 347040 is about 589.1010100144. The cubic root of 347040 is about 70.2737579163.

Adding to 347040 its reverse (40743), we get a palindrome (387783).

The spelling of 347040 in words is "three hundred forty-seven thousand, forty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 241 288 360 480 482 720 723 964 1205 1440 1446 1928 2169 2410 2892 3615 3856 4338 4820 5784 7230 7712 8676 9640 10845 11568 14460 17352 19280 21690 23136 28920 34704 38560 43380 57840 69408 86760 115680 173520 347040