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343080 = 23325953
BaseRepresentation
bin1010011110000101000
3122102121200
41103300220
541434310
611204200
72626143
oct1236050
9572550
10343080
11214841
12146660
13c020a
148d05a
156b9c0
hex53c28

343080 has 48 divisors (see below), whose sum is σ = 1116180. Its totient is φ = 91392.

The previous prime is 343073. The next prime is 343081. The reversal of 343080 is 80343.

It can be written as a sum of positive squares in 2 ways, for example, as 338724 + 4356 = 582^2 + 66^2 .

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 (343081) by changing a digit.

343080 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, 117 + ... + 836.

2343080 is an apocalyptic number.

343080 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 343080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558090).

343080 is an abundant number, since it is smaller than the sum of its proper divisors (773100).

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

343080 is a wasteful number, since it uses less digits than its factorization.

343080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 963 counting only the distinct ones).

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

The square root of 343080 is about 585.7303133696. The cubic root of 343080 is about 70.0054417538.

The spelling of 343080 in words is "three hundred forty-three thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 953 1906 2859 3812 4765 5718 7624 8577 9530 11436 14295 17154 19060 22872 28590 34308 38120 42885 57180 68616 85770 114360 171540 343080