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70304 = 25133
BaseRepresentation
bin10001001010100000
310120102212
4101022200
54222204
61301252
7411653
oct211240
9116385
1070304
1148903
1234828
1326000
141b89a
1515c6e
hex112a0

70304 has 24 divisors (see below), whose sum is σ = 149940. Its totient is φ = 32448.

The previous prime is 70297. The next prime is 70309. The reversal of 70304 is 40307.

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 can be written as a sum of positive squares in 2 ways, for example, as 21904 + 48400 = 148^2 + 220^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 70304.

It is not an unprimeable number, because it can be changed into a prime (70309) by changing a digit.

70304 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 5402 + ... + 5414.

270304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74970).

70304 is an abundant number, since it is smaller than the sum of its proper divisors (79636).

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

70304 is an equidigital number, since it uses as much as digits as its factorization.

70304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49 (or 15 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 14.

The square root of 70304 is about 265.1490147068. The cubic root of 70304 is about 41.2724273512.

The spelling of 70304 in words is "seventy thousand, three hundred four", and thus it is an iban number.

Divisors: 1 2 4 8 13 16 26 32 52 104 169 208 338 416 676 1352 2197 2704 4394 5408 8788 17576 35152 70304