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298168416 = 253271331367
BaseRepresentation
bin10001110001011…
…011000001100000
3202210001112011200
4101301123001200
51102312342131
645330441200
710250250450
oct2161330140
9683045150
10298168416
11143343387
1283a33200
1349a09220
142b857d60
151b29b2e6
hex11c5b060

298168416 has 288 divisors, whose sum is σ = 1080188928. Its totient is φ = 75893760.

The previous prime is 298168393. The next prime is 298168421. The reversal of 298168416 is 614861892.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 812265 + ... + 812631.

It is an arithmetic number, because the mean of its divisors is an integer number (3750656).

Almost surely, 2298168416 is an apocalyptic number.

298168416 is a gapful number since it is divisible by the number (26) 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 298168416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540094464).

298168416 is an abundant number, since it is smaller than the sum of its proper divisors (782020512).

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

298168416 is a wasteful number, since it uses less digits than its factorization.

298168416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 423 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 298168416 is about 17267.5538510815. The cubic root of 298168416 is about 668.0678095792.

The spelling of 298168416 in words is "two hundred ninety-eight million, one hundred sixty-eight thousand, four hundred sixteen".