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299103840 = 2535572157
BaseRepresentation
bin10001110100111…
…111011001100000
3202211211001100000
4101310333121200
51103032310330
645402500000
710261224600
oct2164773140
9684731300
10299103840
11143922162
1284204600
1349c75c29
142ba1cc00
151b3d3560
hex11d3f660

299103840 has 432 divisors, whose sum is σ = 1239153552. Its totient is φ = 67931136.

The previous prime is 299103839. The next prime is 299103869. The reversal of 299103840 is 48301992.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 299103795 and 299103804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1905042 + ... + 1905198.

It is an arithmetic number, because the mean of its divisors is an integer number (2868411).

Almost surely, 2299103840 is an apocalyptic number.

299103840 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 299103840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619576776).

299103840 is an abundant number, since it is smaller than the sum of its proper divisors (940049712).

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

299103840 is a wasteful number, since it uses less digits than its factorization.

299103840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 299103840 is about 17294.6188162677. The cubic root of 299103840 is about 668.7657085430.

The spelling of 299103840 in words is "two hundred ninety-nine million, one hundred three thousand, eight hundred forty".