Search a number
-
+
297448320 = 27351317701
BaseRepresentation
bin10001101110101…
…011001110000000
3202201200221101110
4101232223032000
51102121321240
645303203320
710241161161
oct2156531600
9681627343
10297448320
111429a1364
1283746540
1349816530
142b70b768
151b1a7c80
hex11bab380

297448320 has 256 divisors, whose sum is σ = 1082652480. Its totient is φ = 68812800.

The previous prime is 297448313. The next prime is 297448321. The reversal of 297448320 is 23844792.

297448320 = T43 + T44 + ... + T1212.

297448320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (297448321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 423970 + ... + 424670.

Almost surely, 2297448320 is an apocalyptic number.

297448320 is a gapful number since it is divisible by the number (20) 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 297448320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541326240).

297448320 is an abundant number, since it is smaller than the sum of its proper divisors (785204160).

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

297448320 is a wasteful number, since it uses less digits than its factorization.

297448320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 297448320 is about 17246.6901172370. The cubic root of 297448320 is about 667.5295670669.

The spelling of 297448320 in words is "two hundred ninety-seven million, four hundred forty-eight thousand, three hundred twenty".