Search a number
345600 = 293352
BaseRepresentation
bin1010100011000000000
3122120002000
41110120000
542024400
611224000
72636403
oct1243000
9576060
10345600
11216722
12148000
13c13c8
148dd3a
156c600
hex54600

345600 has 120 divisors (see below), whose sum is σ = 1268520. Its totient is φ = 92160.

The previous prime is 345599. The next prime is 345601. The reversal of 345600 is 6543.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as 6! ⋅ 5! ⋅ (2!)2.

It is an interprime number because it is at equal distance from previous prime (345599) and next prime (345601).

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 (18).

It is a d-powerful number, because it can be written as 3 + 48 + 67 + 53 + 0 + 0 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69118 + ... + 69122.

It is an arithmetic number, because the mean of its divisors is an integer number (10571).

345600 is a Friedman number, since it can be written as 600^3/5^4, using all its digits and the basic arithmetic operations.

2345600 is an apocalyptic number.

345600 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 345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634260).

345600 is an abundant number, since it is smaller than the sum of its proper divisors (922920).

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

345600 is an equidigital number, since it uses as much as digits as its factorization.

345600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 345600 is about 587.8775382680. The cubic root of 345600 is about 70.1764257171.

The spelling of 345600 in words is "three hundred forty-five thousand, six hundred".