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406363230 = 234571337149
BaseRepresentation
bin11000001110001…
…001110001011110
31001022122101120000
4120032021301132
51313012110410
6104153435130
713033013310
oct3016116136
91038571500
10406363230
11199421789
12b410baa6
136625ba20
143bd7d7b0
1525a1ddc0
hex18389c5e

406363230 has 320 divisors, whose sum is σ = 1390435200. Its totient is φ = 82861056.

The previous prime is 406363211. The next prime is 406363253. The reversal of 406363230 is 32363604.

406363230 is a `hidden beast` number, since 4 + 0 + 636 + 3 + 23 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 406363194 and 406363203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2727196 + ... + 2727344.

It is an arithmetic number, because the mean of its divisors is an integer number (4345110).

Almost surely, 2406363230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406363230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695217600).

406363230 is an abundant number, since it is smaller than the sum of its proper divisors (984071970).

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

406363230 is a wasteful number, since it uses less digits than its factorization.

406363230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

The square root of 406363230 is about 20158.4530656497. The cubic root of 406363230 is about 740.6928196187.

The spelling of 406363230 in words is "four hundred six million, three hundred sixty-three thousand, two hundred thirty".