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803472384 = 210311133159
BaseRepresentation
bin101111111001000…
…000010000000000
32001222212121220110
4233321000100000
53121142104014
6211421111320
725624255041
oct5771002000
92058777813
10803472384
113825a2770
121a50b8540
13ca5ca560
14789d08c8
154a810d59
hex2fe40400

803472384 has 352 divisors, whose sum is σ = 2641121280. Its totient is φ = 213811200.

The previous prime is 803472311. The next prime is 803472413. The reversal of 803472384 is 483274308.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13618147 + ... + 13618205.

Almost surely, 2803472384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 803472384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1320560640).

803472384 is an abundant number, since it is smaller than the sum of its proper divisors (1837648896).

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

803472384 is a wasteful number, since it uses less digits than its factorization.

803472384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The square root of 803472384 is about 28345.5884398260. The cubic root of 803472384 is about 929.6589430405.

The spelling of 803472384 in words is "eight hundred three million, four hundred seventy-two thousand, three hundred eighty-four".