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364340 = 22518217
BaseRepresentation
bin1011000111100110100
3200111210002
41120330310
543124330
611450432
73045134
oct1307464
9614702
10364340
11229809
12156a18
13c9ab2
1496ac4
1572e45
hex58f34

364340 has 12 divisors (see below), whose sum is σ = 765156. Its totient is φ = 145728.

The previous prime is 364337. The next prime is 364349. The reversal of 364340 is 43463.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 106276 + 258064 = 326^2 + 508^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 18217 = 364340 / (3 + 6 + 4 + 3 + 4 + 0).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 364340.

It is not an unprimeable number, because it can be changed into a prime (364349) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9089 + ... + 9128.

It is an arithmetic number, because the mean of its divisors is an integer number (63763).

2364340 is an apocalyptic number.

It is an amenable number.

364340 is an abundant number, since it is smaller than the sum of its proper divisors (400816).

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

364340 is a wasteful number, since it uses less digits than its factorization.

364340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18226 (or 18224 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 364340 is about 603.6058316484. The cubic root of 364340 is about 71.4225937855.

The spelling of 364340 in words is "three hundred sixty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 18217 36434 72868 91085 182170 364340