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304245248 = 294611289
BaseRepresentation
bin10010001000100…
…110101000000000
3210012111021000112
4102020212220000
51110341321443
650105010452
710353020246
oct2210465000
9705437015
10304245248
11146813a5a
1285a83a28
134b056198
142c59a796
151ba9bb18
hex12226a00

304245248 has 40 divisors (see below), whose sum is σ = 609687540. Its totient is φ = 151674880.

The previous prime is 304245223. The next prime is 304245257. The reversal of 304245248 is 842542403.

It can be written as a sum of positive squares in 2 ways, for example, as 302481664 + 1763584 = 17392^2 + 1328^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 235388 + ... + 236676.

Almost surely, 2304245248 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 304245248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304843770).

304245248 is an abundant number, since it is smaller than the sum of its proper divisors (305442292).

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

304245248 is an equidigital number, since it uses as much as digits as its factorization.

304245248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1768 (or 1752 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

The square root of 304245248 is about 17442.6273250333. The cubic root of 304245248 is about 672.5758480530.

The spelling of 304245248 in words is "three hundred four million, two hundred forty-five thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 461 512 922 1289 1844 2578 3688 5156 7376 10312 14752 20624 29504 41248 59008 82496 118016 164992 236032 329984 594229 659968 1188458 2376916 4753832 9507664 19015328 38030656 76061312 152122624 304245248