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814423104 = 263211173743
BaseRepresentation
bin110000100010110…
…001110001000000
32002202110222110200
4300202301301000
53131443014404
6212451525200
726116324245
oct6042616100
92082428420
10814423104
113887a2150
121a88b9800
13cc962a81
147a2415cc
154b775839
hex308b1c40

814423104 has 168 divisors, whose sum is σ = 2564782272. Its totient is φ = 245038080.

The previous prime is 814423091. The next prime is 814423111. The reversal of 814423104 is 401324418.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1095757 + ... + 1096499.

Almost surely, 2814423104 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 814423104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1282391136).

814423104 is an abundant number, since it is smaller than the sum of its proper divisors (1750359168).

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

814423104 is a wasteful number, since it uses less digits than its factorization.

814423104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 814423104 is about 28538.0991658520. The cubic root of 814423104 is about 933.8634149858.

The spelling of 814423104 in words is "eight hundred fourteen million, four hundred twenty-three thousand, one hundred four".