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803033280 = 26325761653
BaseRepresentation
bin101111110111010…
…101000011000000
32001222001022120100
4233313111003000
53121034031110
6211403442400
725620445620
oct5767250300
92058038510
10803033280
11382322875
121a4b26400
13ca4a572a
1478918880
154a775bc0
hex2fdd50c0

803033280 has 336 divisors, whose sum is σ = 3213347904. Its totient is φ = 180264960.

The previous prime is 803033279. The next prime is 803033281. The reversal of 803033280 is 82330308.

803033280 is a `hidden beast` number, since 80 + 303 + 3 + 280 = 666.

803033280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (803033279) and next prime (803033281).

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (803033281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1229434 + ... + 1230086.

Almost surely, 2803033280 is an apocalyptic number.

803033280 is a gapful number since it is divisible by the number (80) 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 803033280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1606673952).

803033280 is an abundant number, since it is smaller than the sum of its proper divisors (2410314624).

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

803033280 is a wasteful number, since it uses less digits than its factorization.

803033280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 803033280 is about 28337.8418373736. The cubic root of 803033280 is about 929.4895568630.

Adding to 803033280 its reverse (82330308), we get a palindrome (885363588).

The spelling of 803033280 in words is "eight hundred three million, thirty-three thousand, two hundred eighty".