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298974240 = 25345172359
BaseRepresentation
bin10001110100011…
…111110000100000
3202211120110120000
4101310133300200
51103014133430
645400020000
710260145005
oct2164376040
9684513500
10298974240
11143843854
1284161600
1349c2bc46
142b9c78ac
151b3a9e60
hex11d1fc20

298974240 has 480 divisors, whose sum is σ = 1185528960. Its totient is φ = 70557696.

The previous prime is 298974239. The next prime is 298974251. The reversal of 298974240 is 42479892.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 5067331 + ... + 5067389.

It is an arithmetic number, because the mean of its divisors is an integer number (2469852).

Almost surely, 2298974240 is an apocalyptic number.

298974240 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 298974240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592764480).

298974240 is an abundant number, since it is smaller than the sum of its proper divisors (886554720).

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

298974240 is a wasteful number, since it uses less digits than its factorization.

298974240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 298974240 is about 17290.8715801142. The cubic root of 298974240 is about 668.6691037908.

The spelling of 298974240 in words is "two hundred ninety-eight million, nine hundred seventy-four thousand, two hundred forty".