Search a number
-
+
298698240 = 2935192389
BaseRepresentation
bin10001110011011…
…100011000000000
3202211001102221210
4101303130120000
51102431320430
645350050120
710254615231
oct2163343000
9684042853
10298698240
11143675455
1284049940
1349b63429
142b955088
151b3532b0
hex11cdc600

298698240 has 320 divisors, whose sum is σ = 1060646400. Its totient is φ = 71368704.

The previous prime is 298698199. The next prime is 298698247. The reversal of 298698240 is 42896892.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 298698240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (298698247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3356116 + ... + 3356204.

It is an arithmetic number, because the mean of its divisors is an integer number (3314520).

Almost surely, 2298698240 is an apocalyptic number.

298698240 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 298698240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530323200).

298698240 is an abundant number, since it is smaller than the sum of its proper divisors (761948160).

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

298698240 is a wasteful number, since it uses less digits than its factorization.

298698240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The square root of 298698240 is about 17282.8886474455. Note that the first 3 decimals coincide. The cubic root of 298698240 is about 668.4632783747.

The spelling of 298698240 in words is "two hundred ninety-eight million, six hundred ninety-eight thousand, two hundred forty".