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305420 = 22515271
BaseRepresentation
bin1001010100100001100
3120111221212
41022210030
534233140
610313552
72411303
oct1124414
9514855
10305420
11199515
121288b8
13a902b
147d43a
1560765
hex4a90c

305420 has 12 divisors (see below), whose sum is σ = 641424. Its totient is φ = 122160.

The previous prime is 305419. The next prime is 305423. The reversal of 305420 is 24503.

It is a junction number, because it is equal to n+sod(n) for n = 305395 and 305404.

It is not an unprimeable number, because it can be changed into a prime (305423) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 7616 + ... + 7655.

It is an arithmetic number, because the mean of its divisors is an integer number (53452).

2305420 is an apocalyptic number.

It is an amenable number.

305420 is an abundant number, since it is smaller than the sum of its proper divisors (336004).

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

305420 is a wasteful number, since it uses less digits than its factorization.

305420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15280 (or 15278 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 305420 is about 552.6481701770. The cubic root of 305420 is about 67.3440386425.

Adding to 305420 its reverse (24503), we get a palindrome (329923).

The spelling of 305420 in words is "three hundred five thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 15271 30542 61084 76355 152710 305420