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299332480 = 2751134139
BaseRepresentation
bin10001110101110…
…111001110000000
3202212020122222011
4101311313032000
51103112114410
645411422304
710263166306
oct2165671600
9685218864
10299332480
11143a68a17
12842b4994
134a026015
142ba7c276
151b42b18a
hex11d77380

299332480 has 64 divisors (see below), whose sum is σ = 722098800. Its totient is φ = 118644736.

The previous prime is 299332477. The next prime is 299332487. The reversal of 299332480 is 84233992.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (299332487) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70251 + ... + 74389.

Almost surely, 2299332480 is an apocalyptic number.

299332480 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 299332480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361049400).

299332480 is an abundant number, since it is smaller than the sum of its proper divisors (422766320).

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

299332480 is a wasteful number, since it uses less digits than its factorization.

299332480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4271 (or 4259 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 40.

The square root of 299332480 is about 17301.2277021025. The cubic root of 299332480 is about 668.9360703887.

The spelling of 299332480 in words is "two hundred ninety-nine million, three hundred thirty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 113 128 160 226 320 452 565 640 904 1130 1808 2260 3616 4139 4520 7232 8278 9040 14464 16556 18080 20695 33112 36160 41390 66224 72320 82780 132448 165560 264896 331120 467707 529792 662240 935414 1324480 1870828 2338535 2648960 3741656 4677070 7483312 9354140 14966624 18708280 29933248 37416560 59866496 74833120 149666240 299332480