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406427384 = 23112616883
BaseRepresentation
bin11000001110011…
…001011011111000
31001022202122120002
4120032121123320
51313021134014
6104155052132
713033401326
oct3016313370
91038678502
10406427384
11199465a00
12b4141048
1366281c9c
143bd98d16
1525a32dde
hex183996f8

406427384 has 48 divisors (see below), whose sum is σ = 851481960. Its totient is φ = 181684800.

The previous prime is 406427363. The next prime is 406427393. The reversal of 406427384 is 483724604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55607 + ... + 62489.

Almost surely, 2406427384 is an apocalyptic number.

406427384 is a gapful number since it is divisible by the number (44) 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 406427384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425740980).

406427384 is an abundant number, since it is smaller than the sum of its proper divisors (445054576).

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

406427384 is a wasteful number, since it uses less digits than its factorization.

406427384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6972 (or 6957 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 38.

The square root of 406427384 is about 20160.0442459832. The cubic root of 406427384 is about 740.7317961658.

The spelling of 406427384 in words is "four hundred six million, four hundred twenty-seven thousand, three hundred eighty-four".

Divisors: 1 2 4 8 11 22 44 61 88 121 122 242 244 484 488 671 968 1342 2684 5368 6883 7381 13766 14762 27532 29524 55064 59048 75713 151426 302852 419863 605704 832843 839726 1665686 1679452 3331372 3358904 4618493 6662744 9236986 18473972 36947944 50803423 101606846 203213692 406427384